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

Let `f(x)={{:(int_(0)^(x)|1-t|dt,"where "xgt1),(x-(1)/(2),"where "xle1):}`, then

A

f(x) is continuous at x = 1

B

f(x) is not continuous at x = 1

C

f(x) is differentiable at x = 1

D

f(x) is not differentiable at x = 1

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