Evaluate lim(xtooo) (1+(2)/(x))^(x)....

Evaluate `lim_(xtooo) (1+(2)/(x))^(x).`

A

0

B

1

C

-1

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:

`e^(2)`

`[underset(xtooo)lim(1+(1)/(x//2))^(x//2)]^(2)=e^(2)`

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