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If f(x)={:{(x", for " 0 le x lt 1),(2", ...

If `f(x)={:{(x", for " 0 le x lt 1),(2", for " x=1),(x+1", for " 1 lt x le 2):}`, then f is

A

`lim_(x to 1^(-)) f(x) = 0`

B

`lim_(x to 1^(+)) f(x) = 1`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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