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Recent questions tagged limits

2 votes

1 answer

121

Limits
Find the value of above limit. How to approach with this type of infinity power infinity problems ?? im thinking like first we should convert this to 1 power infinity problem and then solve?? is it correct ?? please solve above que

Anjan asked in Mathematical Logic Jan 25, 2018

by Anjan

634 views

3 votes

1 answer

122

vishal chugh asked in Calculus Jan 22, 2018

by vishal chugh

577 views

3 votes

1 answer

123

Calculus (LIMITS)
Answer is 1. I also know the procedure. My question is why isn't this formula working? Am I doing something wrong?

Nymeria asked in Calculus Jan 21, 2018

590 views

4 votes

0 answers

124

Limits
What is the value of $\displaystyle \lim_{x\to \infty} \left(\frac{x}{2+x}\right)^{2x}?$

Shubhanshu asked in Calculus Jan 15, 2018

465 views

3 votes

1 answer

125

Continuity and Differentiability of root mod function
1) Consider f(x) = $|x|^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both. 2) Consider f(x) = $|x-1|^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both. 3) Find the value of $f(x) = \int_{-2}^{2}|1-x^4|dx$. I am getting 8/5, but answer is 12.

Shubhanshu asked in Calculus Dec 31, 2017

974 views

5 votes

1 answer

126

Limit and Continuity
Evaluate the given limit : $lim_{x\rightarrow0} \ {\Large \frac{(1+x)^{\frac{1}{x}}-e}{x}}$ options : $ \\ a) \frac{e}{8} \\ b) -\frac{e}{2} \\ c)- \frac{e}{4} \\ d) 1$

saxena0612 asked in Calculus Dec 31, 2017

5.8k views

2 votes

2 answers

127

MadeEasy Test Series: Calculus - Limits
How it solve this ?

Kalpataru Bose asked in Calculus Dec 26, 2017

by Kalpataru Bose

878 views

3 votes

0 answers

128

limit question find answer
$\lim_{x\rightarrow\infty}(\sqrt{x}-x)=?$

Lakshman Bhaiya asked in Calculus Dec 25, 2017

by Lakshman Bhaiya

1.5k views

2 votes

1 answer

129

Limit question
$\lim_{x\rightarrow0}\frac{x^{2}+1}{x(x-1)}=?$

Lakshman Bhaiya asked in Calculus Dec 25, 2017

by Lakshman Bhaiya

1.1k views

0 votes

0 answers

130

Limit exists- L'Hospital Rule
Consider we have a limit of the form $\dfrac{0}{0}\ or\ \dfrac{\infty}{\infty} $ and we need to find the value of the limit. Since we have an indeterminate form should we apply L' Hospital rule until the indeterminate form have ... the limit exists and then apply do L'Hospital? Which is the correct approach? Ref: https://gateoverflow.in/118309/gate2017-1-28

Tuhin Dutta asked in Calculus Dec 23, 2017

473 views

3 votes

1 answer

131

Limit
the value of :- $\lim_{x \rightarrow 0}(\frac{1}{x^2} - \frac{1}{sin^2x})$ Is_______ Answer given is -1\3

Shubhanshu asked in Calculus Nov 18, 2017

1.5k views

1 vote

2 answers

132

Manoja Rajalakshmi A asked in Calculus Nov 18, 2017

by Manoja Rajalakshmi A

364 views

1 vote

2 answers

133

Manoja Rajalakshmi A asked in Calculus Nov 18, 2017

by Manoja Rajalakshmi A

353 views

3 votes

2 answers

134

EM: Limits
Please solve the following question:

Manu Thakur asked in Calculus Oct 29, 2017

630 views

0 votes

1 answer

135

limit
solve following $\lim_{x->0} e^{ax}- e^{-ax}/ log(1+bx)$

sid1221 asked in Calculus Aug 30, 2017

486 views

4 votes

5 answers

136

calculus problem on limits

Vicky rix asked in Calculus Aug 8, 2017

766 views

1 vote

1 answer

137

calculus problem on limits
1) 2) Answer for 1) infinity 2) 1/sqrt(3) please verify

Vicky rix asked in Calculus Aug 8, 2017

526 views

1 vote

0 answers

138

set2018 asked in Mathematical Logic Aug 3, 2017

421 views

1 vote

1 answer

139

Proof Results in Limits
Proof these results in limits 1. $\lim_{x\rightarrow0}(1+x)^{1/x} = e$ 2. $\lim_{x\rightarrow0}(1+nx)^{1/x} = e^n$ 3. $\lim_{x\rightarrow\infty }(1+\frac{1}{x})^{x} = e$ 4. $\lim_{x\rightarrow\infty }(1+\frac{a}{x})^{x} = e^a$

Shubhanshu asked in Calculus Jul 28, 2017

440 views

1 vote

1 answer

140

Doubt in calculus
How to solve question 1 without reduction formula. Q1> $\int_{0}^{ \Pi /2}sin^6xcos^2xdx$ Q2> $\lim_{x\rightarrow0}\frac{1-cos^2}{2x^4}$

Shubhanshu asked in Calculus Jul 28, 2017

237 views

1 vote

1 answer

141

Calculus: Need Explanation
Q1> $\lim_{x->0} xlogx$ Q2> $\lim_{x\rightarrow Inf} \frac{sin x}{ x}$ for first question why we can't take: $\frac{x^{2} log x}{x}$

Shubhanshu asked in Calculus Jul 28, 2017

296 views

0 votes

1 answer

142

Aspirant asked in Mathematical Logic Apr 12, 2017

627 views

0 votes

1 answer

143

From Question bank
How to solve such type of problems which involve finding the Domain of the Function ?

anonymous asked in Calculus Mar 30, 2017

by anonymous

390 views

0 votes

1 answer

144

From a Question bank

TheUnitedTrinity asked in Calculus Mar 30, 2017

by TheUnitedTrinity

414 views

1 vote

3 answers

145

ISRO2016-EC Mathematics
The value of $\lim _{x \rightarrow 8}\left(\frac{x^{1 / 3}-2}{x-8}\right)$ is $1/4$ $1/8$ $1/12$ $1/16$

sh!va asked in Calculus Feb 22, 2017

by sh!va

432 views

22 votes

4 answers

146

GATE CSE 2017 Set 1 | Question: 28
The value of $\displaystyle \lim_{x\rightarrow 1} \frac{x^{7}-2x^{5}+1}{x^{3}-3x^{2}+2}$ is $0$ is $-1$ is $1$ does not exist

Arjun asked in Calculus Feb 14, 2017

by Arjun

6.1k views

1 vote

1 answer

147

LIMIT
$\lim_{X\rightarrow \infty } -(x+1)(e^{\frac{1}{x+1}}-1)$

Supremo asked in Calculus Feb 4, 2017

596 views

0 votes

1 answer

148

gate 2010
What is the value of Limn->∞(1-1/n)2n ? (A) 0 (B) e-2 (C) e-1/2 (D) 1

gabbar asked in Mathematical Logic Jan 27, 2017

by gabbar

943 views

2 votes

3 answers

149

VALUE OF LIMIT
What is value of $\lim_{x\rightarrow 0, Y\rightarrow 0}\frac{xY}{x^2+Y^2}$ 1 -1 0 Does not exist

minal asked in Calculus Nov 27, 2016

by minal

2.2k views

2 votes

1 answer

150

If 0<y<x, then Lt(n→∞)⁡〖(xn+yn )(1/n) 〗 is equal to
If 0<y<x, then Lt(n→∞)⁡〖(xn+yn )(1/n) 〗 is equal to

Akriti sood asked in Calculus Nov 27, 2016

2.7k views

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Recent questions tagged limits