please tell me with explanation

Question

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

AKASH GOYAL AskiitiansExpert-IITD · Accepted Answer

Dear ArnabAnswer is b for details see the picAll the best.AKASH GOYALAskiitiansExpert-IITDPlease feel free to post as many doubts on our discussion forum as you can. We are all IITians and here to help you in your IIT JEE preparation.Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar respectively : Click here to download the toolbar..

Differential Calculus> please tell me with explanation...

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

Arnab Das , 14 Years ago

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Differential Calculus> please tell me with explanation...

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

Arnab Das , 14 Years ago

AKASH GOYAL AskiitiansExpert-IITD

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the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution tomove once over to level a playground. find the area of the playground in square m?

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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