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

`lim_(x rarr 0) (2^(x)-1)/((1+x) ^ (1/2) -1) =`

A

log 4

B

2

C

`log_(e)^(2)`

D

`(log_(e)^(2))/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos
  • LINEAR INEQUALITIES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|54 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr 0) (e^(1/x)-1)/(e^(1/x)+1) =

lim_(x rarr 0) (a^(x)-1)/(sqrt(1+x) -1) =

lim_(x rarr 0) (sqrt(1+x)-1)/x =

lim_(x rarr 0) (a^(x)-1)/(sqrt(1+x) - 1) is :

lim_(x rarr 0) (3^(x)-2^(x))/x=

lim_(x rarr 0) ((1+x)^(n)-1)/x is

lim_(x rarr 0) (e^(x)-(1+x))/x^(2) =

lim_(x rarr 0) (a^(x)-b^(x))/(e^(x)-1) =

lim_(x rarr 0) (a^(sinx)-1)/(b^(sinx)-1) =