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lim(x to 0)[(1+3x)^(1//x)]=k, then k is...

`lim_(x to 0)[(1+3x)^(1//x)]=k`, then k is

A

3

B

`-3`

C

`e^(3)`

D

`e^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `lim_(x to 0)(1+3x)^(1//x)=k`
Now, `lim_(x to 0)(1+3x)^(1//x)=e^(3)`
`therefore k =e^(3)`
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