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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Knowledge Check

Evaluate lim_(xtooo)((x+2)/(x+1))^(x+3).

A

0

B

e

C

`oo`

D

does not exist

What is the value of lim_(xtooo) ((x-2)/(x+2))^(x+2) ?

A

0

B

`e^(4)`

C

`e^(-2)`

D

`e^(-4)`

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CENGAGE-LIMITS-Exercise 2.7

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