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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

AskIitian Expert Chaitanya
16 Points
11 years ago

Dear Arnab Das      ,
 
 f(x)=x^2/|x|

 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
 
Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We
are all IITians and here to help you in your IIT JEE preparation.


All the best  Arnab Das      !!!


Regards,

Askiitians Experts

Chaitanya Sagar

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