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If f(x) = {{:((1)/(e^(1//x))",",x ne 0),...

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

A

`underset(x rarr 0^(-))(lim) f(x) = 0`

B

`underset(x rarr 0^(+))(lim) f(x) = 1`

C

f(x) is discontinuous at x = 0

D

f(x) is continuous at x = 0

Text Solution

Verified by Experts

The correct Answer is:
C
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