Home
Class 12
MATHS
The value of lim(xrarroo)(1+(1)/(x))^(x)...

The value of `lim_(xrarroo)(1+(1)/(x))^(x)` is

A

1

B

e

C

`e^(-1)`

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE (Very Short Answer Type Questions)|10 Videos
  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE (Short Answer Type Questions)|25 Videos
  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos
  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination(E. Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(xrarr0)(1-cosx)/x is

lim_(xrarroo) ((16-x)/x)^2 =

The value of lim_(xrarroo) x^(2)(1-cos.(2)/(x)) is

value of lim_(xrarrinfty)((x+1)/(x+2))^(2x+1) is

The value of lim_(x rarr 1) (logx)/(x-1) is

The value of lim_(x to 0)(1-cos x)/(x^(2))

The value of lim_(xrarr0)(1-cos(x/3))/x^2'

The value of lim_(xrarr0)(1-cos4x)/x^2 is

The value of lim_(xrarr0)(1-cos4x)/x^2 is

The value of lim_(x to 0)(1+3x)^((x+2)/(x)) is -