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If f(x) = {(1+x^(2),",", "when"0 le x lt...

If `f(x) = {(1+x^(2),",", "when"0 le x lt 1),(1-x,",","when"x gt 1):}`, then

A

(a) `lim_(x to 1^(+)) f(x) != 0`

B

(b) `lim_(x to 1^(+)) f(x) != 2`

C

(c) f(x) is discontinuous at` x = 1`

D

(d) f(x) is continuous at` x = 1`

Text Solution

Verified by Experts

The correct Answer is:
C
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