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2. The function f(x)=x^2/|x| when x not = 0, & 0 when x=0. Then (a) is not continuous at x = 0 (b) continuous at x = 0, but not differentiable (c) differentiable once, but not twice (d) differentiable infinitely many times


2. The function  f(x)=x^2/|x| when x not = 0, & 0 when x=0. Then


(a) is not continuous at x = 0


(b) continuous at x = 0, but not differentiable


(c) differentiable once, but not twice


(d) differentiable infinitely many times


Grade:Upto college level

1 Answers

AKASH GOYAL AskiitiansExpert-IITD
420 Points
12 years ago

Dear Arnab

Answer is b for details see the pic

All the best.

AKASH GOYAL

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