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If {(5/2,",", x lt 2),(1,",",x = 2),(x-3...

If `{(5/2,",", x lt 2),(1,",",x = 2),(x-3/2,",",x gt 2):}`, then

A

(a) f(x) is continuous at` x = 2`

B

(b) f(x) is discontinuous at` x = 2`

C

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

D

(d) none of these

Text Solution

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The correct Answer is:
B
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