Evaluate lim(xtooo) [x(a^(1//x)-1)],agt1...

Evaluate `lim_(xtooo) [x(a^(1//x)-1)],agt1`

Text Solution

Verified by Experts

The correct Answer is:

`log_(e)a`

`underset(xtooo)limx(a^(1//x)-1)=underset(xtooo)lim[(a^(1//x)-1)/(1//x)]=log_(e)a`

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Knowledge Check

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

A

0

B

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C

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D

does not exist

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CENGAGE-LIMITS-Exercise 2.6

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