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Q.

The function f(x)=|x|+|x−1| is

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a

Continuous at x  = 1 , but not differentiable

b

Continuous as well as differentiable at x = 1

c

not continuous at  x  = 1

d

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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