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If f(x) ={(e^(1/x),",","when"x != 0),(1,...

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

A

`lim_(x to 0^(+))f(x) = e`

B

`lim_(x to 0^(+))f(x) = 0`

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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