Evaluate `Lt_(xto0)(((1+x)^(1/x)-e+(ex)/2)/(x^(2)))`

A

`(e)/(2)`

B

`(11e)/(8)`

C

`(11e)/(24)`

D

e

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Evaluate Lt_(xto0)(cosx)^(1/x^(2))

Evaluate Lt_(xto0)(sin(x^(0)))/x

Evaluate Lt_(x to 0)[((1+x)^((1)/(x))-e+(ex)/(2))/(sin^(2)x)]

Evaluate Lt_(xto0)(27^(x)-9^(x)-3^(x)+1)/x^(2) .

Evaluate Lt_(xto0)(1-cos(x))/x^(2)

Evaluate Lt_(xto0)(tanx^(0))/x^(0)

Evaluate Lt_(xto0)(sin(x^(0)))/x^(0)

Evaluate : Lt_(xto0)x^(3//2)(xgt0)

Evaluate Lt_(xto0)((e^(x^(2))-cosx)/x^(2)) .

Evaluate the following limits: lim_(x to 0)((1+x)^(1//x)-e+(ex)/(2))/(sin^(2)x)