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let f(x)={( int0^x|1-t|dt, xgt1),(x-1/2,...

let `f(x)={( int_0^x|1-t|dt, xgt1),(x-1/2, xle1):}`
then

A

`f(x)` is continuous at `x=1`

B

`f(x)` is not continuous at `x=1`

C

`f(x)` is differentiable `x=1`

D

`f(x)` is not differentiable at `x=1`

Text Solution

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The correct Answer is:
A, D
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