Home
Class 11
MATHS
Evaluate the limits lim(x to 0) (3^x-1)...

Evaluate the limits
`lim_(x to 0) (3^x-1)/(sqrt(x+1)-1)`

Text Solution

Verified by Experts

The correct Answer is:
log 9
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.5|34 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.6|25 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.3|13 Videos

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS (Find the derivative of following functions.)|10 Videos

  • EXAMINATION QUESTION PAPER - JUNE 2019

    FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

Evaluate the limits lim_(x to 0) (2^x-3^x)/x

lim_(xto0)(3^(x)-1)/(sqrt(x+1)-1)

Evaluate the limits lim_(x to 0) (1-cosx)/x^2

Evaluate the limits : lim_(x to 0) (sqrt(1-x)-1)/x^2

Evaluate the limits : lim_(x to 0) (sqrt(1+x^2)-1)/x

Evaluate the limits : lim_(x to 0) (sqrt(1+x)-1)/x

Evaluate the limits lim_(x to 0) (1+x)^(1//3x)

Evaluate the limits : lim_(x to 2) (1/x-1/2)/(x-2)

Evaluate the limits : lim_(x to 1) (sqrtx-x^2)/(1-sqrtx)