Home
Class 12
MATHS
underset(x to 0)"Lt" ((sin x)/(x))^((sin...

`underset(x to 0)"Lt" ((sin x)/(x))^((sin x)/(x-sin x))=`

A

0

B

1

C

e

D

1/e

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B( One Sided Limits)|71 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C(Continuity)|86 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • LINEAR PROGRAMMING [APPENDIX-2]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise -1|33 Videos

Similar Questions

Explore conceptually related problems

underset(x to 0)"Lt" (|sin x|)/(x)=

underset(x to 0)"Lt" (sin x)/(|x|)=

underset(x to 0)"Lt" sin (1/x)=

underset(x to 0)"Lt" (sin |x|)/(|x|=

underset(x to 0)"Lt" (5x-sin5x)/(x)=

underset(x to 0)"Lt" x sin (1/x)=

underset(x to 0)"Lt" (e^(sin x)-1)/(x)=

underset(x to 0)"Lt" (sin x)^(tan x)=

underset(x to 0)"Lt" (sin x^(2))/(|x|)=

underset(x to o)"Lt" (sin x-x)/(x^(3))=