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Let f (x)= [{:((x(3e^(1//x)+4))/(2 -e^(1...

Let `f (x)= [{:((x(3e^(1//x)+4))/(2 -e^(1//x)),,,( x ne 0)),(0 ,,, x=0):} x ne (1)/(ln 2)` which of the following statement (s) is/are correct ?

A

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

B

` f (x)` is non-dervable at `x=0`

C

`f'(0^(+))=-3`

D

`f '(0^(-))` does not exist

Text Solution

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The correct Answer is:
A, B, C
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