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Let f(x)={{:(int(0)^(x)(5+|1-t|)dt","," ...

Let `f(x)={{:(int_(0)^(x)(5+|1-t|)dt","," if "xgt 2),(5x+1","," if "x le 2):}` then the function is

A

f(x) is not continuous at x = 2

B

f(x) is everywhere differentiable

C

f(x) is continuous but not differentiable at x = 2

D

f(x) is not differentiable at x=1

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