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The function f(x)=|x-2|+x is...

The function `f(x)=|x-2|+x` is

A

differentiable at `x=2` but not at `x=0`

B

differentiable at both `x=2` and `x=0`

C

continuous at both `x=2` and `x=0`

D

continuous at `x=2` but not at `x=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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