Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
Recent questions tagged limits
0
votes
0
answers
91
ISI2016-DCG-57
$\underset{x\rightarrow 1}{\lim} \dfrac{x^{16}-1}{\mid x-1\mid}$ equals $-1$ $0$ $1$ Does not exist
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
538
views
isi2016-dcg
calculus
limits
0
votes
1
answer
92
ISI2017-DCG-26
The value of $\underset{n \to \infty}{\lim} \bigg( \dfrac{1}{1-n^2} + \dfrac{2}{1-n^2} + \dots + \dfrac{n}{1-n^2} \bigg)$ is $0$ $ – \frac{1}{2}$ $\frac{1}{2}$ none of these
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
355
views
isi2017-dcg
calculus
limits
0
votes
0
answers
93
ISI2017-DCG-27
The limit of the sequence $\sqrt{2}, \sqrt{2\sqrt{2}}, \sqrt{2\sqrt{2\sqrt{2}}}, \dots$ is $1$ $2$ $2\sqrt{2}$ $\infty$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
337
views
isi2017-dcg
calculus
limits
0
votes
1
answer
94
ISI2018-DCG-28
Let $f(x)=e^{-\big( \frac{1}{x^2-3x+2} \big) };x\in \mathbb{R} \: \: \& x \notin \{1,2\}$. Let $a=\underset{n \to 1^+}{\lim}f(x)$ and $b=\underset{x \to 1^-}{\lim} f(x)$. Then $a=\infty, \: b=0$ $a=0, \: b=\infty$ $a=0, \: b=0$ $a=\infty, \: b=\infty$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
301
views
isi2018-dcg
calculus
limits
functions
0
votes
1
answer
95
Maths: Limits
$\LARGE \lim_{n \rightarrow \infty} \frac{n^{\frac{3}{4}}}{log^9 n}$
Mk Utkarsh
asked
in
Calculus
May 26, 2019
by
Mk Utkarsh
581
views
engineering-mathematics
calculus
limits
0
votes
1
answer
96
ISI2018-MMA-19
Let $X_1,X_2, . . . ,X_n$ be independent and identically distributed with $P(X_i = 1) = P(X_i = −1) = p\ $and$ P(X_i = 0) = 1 − 2p$ for all $i = 1, 2, . . . , n.$ ... $a_n \rightarrow p, b_n \rightarrow p,c_n \rightarrow 1-2p$ $a_n \rightarrow1/2, b_n \rightarrow1/2,c_n \rightarrow0$ $a_n \rightarrow0, b_n \rightarrow0,c_n \rightarrow1$
akash.dinkar12
asked
in
Calculus
May 11, 2019
by
akash.dinkar12
704
views
isi2018-mma
engineering-mathematics
calculus
limits
1
vote
2
answers
97
ISI2019-MMA-24
Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a continuous function such that $\lim _{n\rightarrow \infty} f^n(x)$ exists for every $x \in \mathbb{R}$, where $f^n(x) = f \circ f^{n-1}(x)$ for $n \geq 2$ ... $S \subset T$ $T \subset S$ $S = T$ None of the above
Sayan Bose
asked
in
Calculus
May 7, 2019
by
Sayan Bose
1.6k
views
isi2019-mma
engineering-mathematics
calculus
limits
0
votes
1
answer
98
ISI2019-MMA-5
If $f(a)=2, \: f’(a) = 1, \: g(a) =-1$ and $g’(a) =2$, then the value of $\lim _{x\rightarrow a}\frac{g(x) f(a) – f(x) g(a)}{x-a}$ is $-5$ $-3$ $3$ $5$
Sayan Bose
asked
in
Calculus
May 6, 2019
by
Sayan Bose
772
views
isi2019-mma
calculus
limits
1
vote
1
answer
99
ISI MMA-2015
Let, $a_{n} \;=\; \left ( 1-\frac{1}{\sqrt{2}} \right ) ... \left ( 1- \frac{1}{\sqrt{n+1}} \right )$ , $n \geq 1$. Then $\lim_{n\rightarrow \infty } a_{n}$ (A) equals $1$ (B) does not exist (C) equals $\frac{1}{\sqrt{\pi }}$ (D) equals $0$
ankitgupta.1729
asked
in
Calculus
Feb 21, 2019
by
ankitgupta.1729
1.3k
views
engineering-mathematics
calculus
userisi2015
usermod
sequence-series
limits
14
votes
7
answers
100
GATE CSE 2019 | Question: 13
Compute $\displaystyle \lim_{x \rightarrow 3} \frac{x^4-81}{2x^2-5x-3}$ $1$ $53/12$ $108/7$ Limit does not exist
Arjun
asked
in
Calculus
Feb 7, 2019
by
Arjun
6.3k
views
gatecse-2019
engineering-mathematics
calculus
limits
1-mark
0
votes
1
answer
101
UPPCL AE 2018:81
The value of $\dfrac{|x|}{x}$ at $x= 0$ is: Infinity Not defined $1$ $0$
admin
asked
in
Calculus
Jan 5, 2019
by
admin
308
views
uppcl2018
calculus
limits
1
vote
2
answers
102
GATE Overflow | Mock GATE | Test 1 | Question: 19
Evaluate the limit: $ \lim_{x \to -3} \frac{\sqrt{2x+22}-4}{x+3}$ $\frac{1}{2}$ $\frac{1}{4}$ $\frac{1}{8}$ $\frac{1}{16}$
Ruturaj Mohanty
asked
in
Calculus
Dec 27, 2018
by
Ruturaj Mohanty
1.0k
views
go-mockgate-1
limits
calculus
6
votes
5
answers
103
TIFR CSE 2019 | Part A | Question: 15
Consider the matrix $A = \begin{bmatrix} \frac{1}{2} &\frac{1}{2} & 0\\ 0& \frac{3}{4} & \frac{1}{4}\\ 0& \frac{1}{4} & \frac{3}{4} \end{bmatrix}$ What is $\displaystyle \lim_{n→\infty}$A^n$ ? $\begin{bmatrix} \ 0 ... $\text{The limit exists, but it is none of the above}$
Arjun
asked
in
Calculus
Dec 18, 2018
by
Arjun
2.8k
views
tifr2019
engineering-mathematics
calculus
limits
matrix
2
votes
1
answer
104
Got from friend
Find the limit of the given expression $\lim_{x\to\frac{\pi}{2}}\left ( \sec x-\frac{1}{1-\sin x} \right )$
JeetRabari
asked
in
Calculus
Nov 13, 2018
by
JeetRabari
2.7k
views
engineering-mathematics
calculus
limits
0
votes
1
answer
105
limits
Find the limit $\operatorname { lit } _ { x \rightarrow 1 } \left\{ \left( \frac { 1 + x } { 2 + x } \right) ^ { \left( \frac { 1 - \sqrt { x } } { 1 - x } \right) } \right\}$
MIRIYALA JEEVAN KUMA
asked
in
Calculus
Oct 14, 2018
by
MIRIYALA JEEVAN KUMA
548
views
limits
calculus
engineering-mathematics
0
votes
0
answers
106
calculus
what is difference between this and in questions if asked to find derivative or check differentiable or not, which formula should i use? 1) $lim_{h\rightarrow 0} \frac{f(a+h)-f(a)}{h}$ 2) $lim_{x\rightarrow a} \frac{f(x)-f(a)}{x-a}$
Rahul_Rathod_
asked
in
Calculus
Sep 16, 2018
by
Rahul_Rathod_
301
views
limits
calculus
0
votes
0
answers
107
ISI2017-MMA-14
Let $(v_n)$ be a sequence defined by $v_1=1$ and $v_{n+1}=\sqrt{v_n^2 +(\frac{1}{5})^n}$ for $n\geq1$. Then $\lim _{n\rightarrow \infty} v_n$ is $\sqrt{5/3}$ $\sqrt{5/4}$ $1$ nonexistent
go_editor
asked
in
Calculus
Sep 15, 2018
by
go_editor
369
views
isi2017-mma
engineering-mathematics
calculus
limits
0
votes
0
answers
108
ISI2017-MMA-16
Let $(x_n)$ be a sequence of real numbers such that the subsequences $(x_{2n})$ and $(x_{3n})$ converge to limits $K$ and $L$ respectively. Then $(x_n)$ always converges if $K=L$, then $(x_n)$ converges $(x_n)$ may not converge, but $K=L$ it is possible to have $K \neq L$
go_editor
asked
in
Calculus
Sep 15, 2018
by
go_editor
447
views
isi2017-mma
engineering-mathematics
calculus
limits
0
votes
0
answers
109
ISI2016-MMA-5
Let $ f(x, y) = \begin{cases} \dfrac{x^2y}{x^4+y^2}, & \text{ if } (x, y) \neq (0, 0) \\ 0 & \text{ if } (x, y) = (0, 0) \end{cases}$ Then $\lim_{(x, y) \rightarrow (0,0)}$f(x,y)$ equals $0$ equals $1$ equals $2$ does not exist
go_editor
asked
in
Calculus
Sep 13, 2018
by
go_editor
431
views
isi2016-mmamma
calculus
limits
non-gate
0
votes
1
answer
110
ISI2016-MMA-24
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a strictly increasing function. Then which one the following is always true? The limits $\lim_{x \rightarrow a+} f(x) $ and $\lim_{x \rightarrow a-} f(x)$ exist for all real numbers $a$ If $f$ is differentiable at $a$ then ... such that $f(x)<B$ for all real $x$ There cannot be any real number $L$ such that $f(x)>L$ for all real $x$
go_editor
asked
in
Calculus
Sep 13, 2018
by
go_editor
475
views
isi2016-mmamma
calculus
continuity
differentiation
limits
1
vote
1
answer
111
Limit
Puzzle $\lim_{y\rightarrow \alpha }\left (y-\left ( y^{2}+y \right )^{\frac{1}{2}}\right )$
srestha
asked
in
Calculus
May 30, 2018
by
srestha
690
views
limits
calculus
engineering-mathematics
0
votes
0
answers
112
Limits
$\displaystyle\lim_{x \to 0} \left[ \dfrac{log(1+x)}{x} \right] ^{\dfrac{1}{x}} $
Nymeria
asked
in
Mathematical Logic
May 29, 2018
by
Nymeria
388
views
engineering-mathematics
calculus
limits
2
votes
2
answers
113
Limit
Is answer will be 1 or 5? $\lim_{x\rightarrow \alpha }\left ( \frac{x+6}{x+1} \right )^{x+4}$
srestha
asked
in
Calculus
May 26, 2018
by
srestha
1.0k
views
limits
calculus
engineering-mathematics
0
votes
1
answer
114
ISI-2016-05
Let $f(x,y) = \begin{cases} \dfrac{x^2y}{x^4+y^2}, & \text{ if } (x,y) \neq (0,0) \\ 0 & \text{ if } (x,y) = (0,0)\end{cases}$ Then $\displaystyle{\lim_{(x,y)\rightarrow(0,0)}}f (x,y)$ equals $0$ equals $1$ equals $2$ does not exist
jjayantamahata
asked
in
Calculus
Mar 30, 2018
by
jjayantamahata
526
views
isi2016
engineering-mathematics
limits
3
votes
2
answers
115
ISI2017-MMA-14
Let $(v_n)$ be a sequence defined by $v_1 = 1$ and $v_{n+1} = \sqrt{v_n^2 +\left(\dfrac{1}{5}\right)^n}$ for $n\geq1$. Then $\displaystyle{\lim_{n \rightarrow \infty}v_n}$ is $\sqrt{5/3}$ $\sqrt{5/4}$ $1$ $\text{non existent}$
jjayantamahata
asked
in
Calculus
Mar 27, 2018
by
jjayantamahata
1.4k
views
isi2017-mma
engineering-mathematics
calculus
limits
1
vote
1
answer
116
ISI-2014
Consider the function for all $x \in (0,1),$ $\begin{equation}f(x) =\begin{cases}x &\text{if x is rational}\\1-x & \text{otherwise.}\end{cases} \end{equation}$ Then, the function $f$ is everywhere continuous on $(0,1)$ continuous only on rational points in $(0,1)$ nowhere continuous on $(0,1)$ continuous only at a single point in $(0,1)$
jjayantamahata
asked
in
Mathematical Logic
Mar 15, 2018
by
jjayantamahata
802
views
limits
calculus
1
vote
1
answer
117
Mathematics GATE 2018 CH: 33
If $y = e^{-x^2}$ then the value of $\displaystyle\lim_{x \to \infty} \dfrac{1}{x}\dfrac{\mathrm{d}y}{\mathrm{d}x}$ is _________ .
Lakshman Bhaiya
asked
in
Calculus
Feb 20, 2018
by
Lakshman Bhaiya
935
views
gate2018-ch
engineering-mathematics
calculus
limits
1
vote
0
answers
118
Limits
Is there any other way instead of using general formula for sum of "to the 4" of first n natural numbers
Nishtha3121996
asked
in
Quantitative Aptitude
Feb 1, 2018
by
Nishtha3121996
1.0k
views
limits
2
votes
1
answer
119
Calculus Limit
Find the value of Here I got till $lim_{x \rightarrow \infty} \frac{4^2 + \frac{3^x}{4^x}}{4^{-2}}$. But how to proceed further?
Shubhanshu
asked
in
Calculus
Jan 29, 2018
by
Shubhanshu
884
views
limits
calculus
engineering-mathematics
6
votes
1
answer
120
MadeEasy Test Series 2018: Calculus - Limits
The value of $\lim_{x\rightarrow \infty }\left ( \frac{4^{x+2} + 3^{x}}{4^{x-2}} \right )$ is ____________
sumit chakraborty
asked
in
Calculus
Jan 26, 2018
by
sumit chakraborty
693
views
engineering-mathematics
calculus
limits
made-easy-test-series
Page:
« prev
1
2
3
4
5
6
7
8
next »
Subscribe to GATE CSE 2024 Test Series
Subscribe to GO Classes for GATE CSE 2024
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
Post GATE 2024 Guidance [Counseling tips and resources]
GATE CSE 2024 Result Responses
[Project Contest] Pytorch backend support for MLCommons Cpp Inference implementation
Participating in MLCommons Inference v4.0 submission (deadline is February 23 12pm IST)
IIITH PGEE 2024 Test Series by GO Classes
Subjects
All categories
General Aptitude
(3.5k)
Engineering Mathematics
(10.4k)
Digital Logic
(3.6k)
Programming and DS
(6.2k)
Algorithms
(4.8k)
Theory of Computation
(6.9k)
Compiler Design
(2.5k)
Operating System
(5.2k)
Databases
(4.8k)
CO and Architecture
(4.0k)
Computer Networks
(4.9k)
Artificial Intelligence
(79)
Machine Learning
(48)
Data Mining and Warehousing
(25)
Non GATE
(1.4k)
Others
(2.7k)
Admissions
(684)
Exam Queries
(1.6k)
Tier 1 Placement Questions
(17)
Job Queries
(80)
Projects
(11)
Unknown Category
(870)
64.3k
questions
77.9k
answers
244k
comments
80.0k
users
Recent questions tagged limits
Recent Blog Comments
category ?
Hi @Arjun sir, I have obtained a score of 591 in ...
download here
Can you please tell about IIT-H mtech CSE self...
Please add your admission queries here:...