If lim(xrarroo)(1+a/x+b/x^2)^(2x) =e^2 ,...

If `lim_(xrarroo)(1+a/x+b/x^2)^(2x) =e^2` , then the values of a and b are

A

`a in R , b in R`

B

`a = R , b in R`

C

`a in R , b =2 `

D

`a = 1 , b =2 `

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

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

Suppose f(x) = { (a+bx , x lt 1),(4 , x = 1), (b - ax , x gt 1) :} and if lim_(x rarr 1) f(x) = f(1) what are the possible values of a and b ?

Evalute lim_(xrarr1)(1/x+1/2)/(x+2)

If f(x)={(a+bx,x 1):} and lim_(xrarr1)f(x)=f(1) , then find the value of a and b.

lim_(x rarr 2) (x^5 - 32)/(x - 2)

Given that x^(2)+x-6 is a factor of 2x^(4)+x^(3)-ax^(2)+bx+a +b-1 , find the values of a and b.