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If f(x) is continuous at x=0, where f(x...

If `f(x)` is continuous at `x=0`, where `f(x)={:{((1+3x)^(1/x)", for " x != 0 ),(k", for " x =0):}`, then `k=`

A

`e^(-3)`

B

`e^(3)`

C

`3e`

D

None of these

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The correct Answer is:
B
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