The function f(x)=|x|+|x−1| is

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Continuous at x = 1 , but not differentiable

Continuous as well as differentiable at x = 1

not continuous at x = 1

none of these.

answer is A.

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Detailed Solution

f(x)=−2x+1 x<0 1 0≤x<12x−1, x≥1 Check that f is continuous at x=1 but it not differentiable at x=1

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