Home
Class 12
MATHS
The vlaue of lim (xto0) ((sin x)/(x )) ^...

The vlaue of `lim _(xto0) ((sin x)/(x )) ^((1)/(1- cos x ))` :

A

`e ^(-1//3)`

B

`e ^(1//3)`

C

`e ^(-1//=6)`

D

`e ^(1//6)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|24 Videos
  • LIMIT

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos
  • INVERSE TRIGONOMETRIC FUNTIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|5 Videos
  • LOGARITHMS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|19 Videos

Similar Questions

Explore conceptually related problems

The value of lim _(xto0) (cos (sin x )- cos x)/(x ^(4)) is equal to :

Given, lim_(xto0) (sin3x)/(sin7x) .

Evaluate: lim_(xto0)(tan8x)/(sin3x)

The value of lim_(xto0) (1-(cosx)sqrt(cos2x))/(x^(2)) is

Evaluate : lim_(xto0) (1+ax)^(1//x)

lim _(xto0)(((1+ x )^(2/x))/(e ^(2)))^((4)/(sin x)) is :

The value of lim_(xto0)(1)/(x) int_(0)^(x)(1+ sin 2t)^(1/t) dt equals :

lim _(xto0) ((cos x -secx )/(x ^(2) (x+1)))=

Evalaute lim_(xto0) (x2^(x)-x)/(1-cosx)

Evaluate lim_(xto0) (1-cos2x)/x^(2)