JEE Advanced Mathematics question

MathematicsContinuity and DifferentiabilityJEE Advanced

Let for all . Then

Answer: (A),(B),(D)

Solution

(b) ✓: and are continuous everywhere, so is. - (a) ✓: . With :

RHD==-1, LHD==+1.

Unequal, so does not exist.

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Question ID VK-109349