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The function f(x)={{:(|x-3|",", x ge1),(...

The function `f(x)={{:(|x-3|",", x ge1),(((x^(2))/(4))-((3x)/(2))+(13)/(4)",", x lt 1):}` is

A

continuous at x = 1

B

continuous at x = 3

C

differentiable at x = 1

D

All of these

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The correct Answer is:
C
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