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If f(x) {:(=(x^(2)-4x+3)/(x^(2)-1)", ...

If f(x) `{:(=(x^(2)-4x+3)/(x^(2)-1)", ..."x!=1 ),( =2", ..."x=1):}` then :

A

`lim_(xtol)f(x)=2`

B

f(x) is continuous at x=1.

C

f(x) is discontinuous at x=1.

D

`lim_(xtol)f(x)=2` does not exists.

Text Solution

Verified by Experts

The correct Answer is:
C
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