Home
Class 11
MATHS
Evaluate underset(xto1)lim(a^(x-1)-1)/(s...

Evaluate `underset(xto1)lim(a^(x-1)-1)/(sinpix).`

Text Solution

Verified by Experts

The correct Answer is:
`-(log_(e)a)/pi`
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 13 (a)|57 Videos
  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 13 (b)|59 Videos
  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise ILLUSTRATIVE EXAMPLES|16 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(xto1) (a^(x-1)-1)/(sinpix).

Evaluate lim_(xto0) ((1)/(x^(2))-(1)/(sin^(2)x)).

Evaluate lim_(xto0) (e^(x)-1-x)/(x^(2)).

Evaluate lim_(xto1)(x^(2)-3x+2)/(x-1)

Evaluate: lim_(xto0)(log(e^(x)-x))/(1-cosx)

Find underset(x to oo)lim (1+1/x^2)^x

Evaluate lim_(xto0) (2^(x)-1)/(sqrt(1+x)-1).

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

Evaluate lim_(xto0)(sin^(-1)x-tan^(-1)x)/(x^(3)).

Evaluate lim_(xto0)(sqrt(1+x)-1)/(x)