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If f(x)={((1+2x)^(1//x)",","for " x ne 0...

If `f(x)={((1+2x)^(1//x)",","for " x ne 0),(e^(2)",", "for " x =0):}`, then

A

`lim_(xto0^(+))f(x)=e`

B

`lim_(xto0^(-))f(x)=e^(2)`

C

`f(x)` is discontinuous at x=0

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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