Home
Class 12
MATHS
Find the value of lim(xto0^(+)) (sinx)^(...

Find the value of `lim_(xto0^(+)) (sinx)^((1)/(x))`.

Text Solution

Verified by Experts

The correct Answer is:
0

`underset(xto0^(+))lim(sinx)^((1)/(x))=(underset(xto0^(+))limsinx)^(underset(xto0^(+))lim(1)/(x))=0^(oo)=0`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE|Exercise Exercise 2.3|15 Videos
  • LIMITS

    CENGAGE|Exercise Exercise 2.4|5 Videos
  • LIMITS

    CENGAGE|Exercise Exercise 2.1|10 Videos
  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos
  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(xto0^(+)) (x)^((1)/(log_(e)sinx)).

Find the value of lim_(xto0) (sinx+log_(e)(sqrt(1+sin^(2)x)-sinx))/(sin^(3)x).

lim_(xto0)(sin2x)/(1-sqrt(1-x))

Evaluate lim_(xto0)(sinax)/(bx)

Evaluate lim_(xto0) (sinx-x)/(x^(3)).

The value of lim_(xto0)sinx/(sqrtx)^2 is

lim_(xto0)(sinx(1-cosx))/x^(3)

lim_(xto0)(tanx-sinx)/x^(3)

lim_(xto0)(e^(sinx)-1)/x=

Evaluate lim_(xto0) {(sinx-x+(x^(3))/(6))/(x^(5))}.