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If f(x) = {{:( 1+ x ,"for " xle 2),( 5-...

If f(x) = ` {{:( 1+ x ,"for " xle 2),( 5-x,"for " xgt 2):},then `

A

differentiable at x = 2 but not continuous at x = 2

B

continuous at x = 2 but not differentiable at x = 2

C

continuous and differentiable at x = 2

D

neither continuous nor differentiable at x = 2

Text Solution

Verified by Experts

The correct Answer is:
B
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