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Arnab Das Grade: Upto college level

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

7 years ago

Answers : (1)

AskIitian Expert Chaitanya
16 Points

Dear Arnab Das      ,

 f(x)= x   when x>o
     = -x  when x<0
     = 0   when x=0

 so the function is continous for all x
 and the function is not differentiabele at x =0
 so the answer b is the right one
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Askiitians Experts

Chaitanya Sagar

7 years ago
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