Home
Class 11
MATHS
Evaluate the following limits: lim(x t...

Evaluate the following limits:
`lim_(x to0)(3^(x)-1)/(sqrt(1+x)-1)`

Text Solution

Verified by Experts

The correct Answer is:
2log 3
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise ADDITIONL EXERCISE|28 Videos

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-I|48 Videos

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE 1.5 ( VERY SHORT ANSWER QUESTIONS)|4 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limits : Lt_(xto0)(3^(-x)-1)/x

Evaluate the following limits: lim_(x to1)(e^(x)-e)/(x-1)

Evaluate the following limits: lim_(x to0) (1+3x)^(4//x)

Evaluate the following limits: lim_(x to 0) (x(3^(x)-1))/(1-cosx)

Evaluate the following limits: lim_(x to0) (1+x)^(3//x)

Evaluate the following limits in lim_(xrarr0)x

Evaluate the following limits : Lt_(xto0)(1+x)^(3)

Evaluate the following limits: lim_(x to 0)((1+x)^(1//x)-e)/(x)

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