virtual gate

Question

Comments

For these kinds of problems involving power take the log on both sides of y = f(x).

It can be easily solved after this. Try to get the terms in the format for which we have a formula.

Answer 1

option B

Answer 2

let y= lim _x-->a f(x)^g(x)

if by putting limit we got 1^inf 

then y = lim _x-->a e ^{g(x) * {f(x)-1}}

now see problem

f(x) = 1-(1/2n)) and g(x) = 2n and by putting limit we got 1^inf  type

lim _x-->inf e ^{2n* {(1-(1/2n))-1}}

lim _x-->inf e ^{2n* {-1/2n}}

= e^-2