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If f(x) = {(x^(2), ",","when" x != 1),(2...

If `f(x) = {(x^(2), ",","when" x != 1),(2,",","when" x = 1):}`, then

A

`lim_(x to 1) f(x) = 2`

B

f(x) is continuous at x = 1

C

f(x) is discontinuous at x = 1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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