Home
Class 12
MATHS
Evaluate: lim(x rarr 0)(2^x-1)/(sqrt(1+x...

Evaluate: `lim_(x rarr 0)(2^x-1)/(sqrt(1+x)-1)`

Text Solution

Verified by Experts

The correct Answer is:
`2 log 2`
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE (Long Answer Type Questions)|8 Videos
  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Multiple Correct Answer Tpye)|5 Videos
  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE (Very Short Answer Type Questions)|10 Videos
  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos
  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination(E. Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate: lim_(x rarr 0) (2^(3x)-1)/(3^(2x)-1)

Evaluate: lim_(x rarr 0)(e^(4x)-1)/(x)

Evaluate: lim_(x rarr 0) (e^(2x)-1)/(sin3x)

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

Evaluate: lim_(x rarr 0) (e^(3x)-1)/(log(1+5x))

lim_(x to 0) (pi^(x)-1)/(sqrt(1+x)-1)

Evaluate: lim_(x rarr 0) (e^(sinx)-1)/(x)

Evaluate : lim_(x rarr 0)(3sin^-1 x)/(4(e^x-1))

Use the formula l t_(x rarr 0)(a^(x)-1)/(x) = log_(e) a, to compute l t_(x rarr 0)(2^(x)-1)/(sqrt(1+x)-1)

Evaluate : lim_(x rarr 0)log(1+5 x)/(e^(2x)-1)