lim(xrarr0)((2^(sinx)-1)[loge(1+sin2x)])...

`lim_(xrarr0)((2^(sinx)-1)[log_e(1+sin2x)])/(x tan^(-1)x)` is equal to

A

`log_(e) 2`

B

`2log_e2`

C

`(log_e2)^(2)`

D

0

Verified by Experts

The correct Answer is:

B

lim(xrarr0)((2^(sinx)-1)[loge(1+sin2x)])/(x tan^(-1)x) is equal to
Text Solution
|
lim(xrarr0)(sinx)/(sqrt(x+1)-sqrt(1-x)) is equal to
Text Solution
|
lim(xrarr0)(cos (sinx)-1)/(x^2)=
Text Solution
|
For xgt0, lim(xrarr0) {(sinx)^(1//x)+((1)/(x))^sinx}, is
Text Solution
|
The value of lim(xrarr0) (loge(1+x)-x)/(x{(1+x)^(1//x)-e}) equal to
Text Solution
|
lim(xrarr0) (1)/(x^(2))|(1-cos3x,log(e)(1+4x)),(sin^(-1)(x^(x)-),tan^(...
Text Solution
|
The value of lim(xrarr0)((1+tanx)/(1+sinx))^((2)/(sinx)) is equal to
Text Solution
|
Let lim(xrarr0)(sin2x)/(tan((x)/(k)))=L(1) and lim(xrarr0)(e^(2x)-1)/(...
Text Solution
|
lim(xrarr0)(sinx)/(sqrt(x+1)-sqrt(1-x)) is equal to
Text Solution
|

Similar Questions