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

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

AskIitian Expert Chaitanya · Answer

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

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Chaitanya Sagar

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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

1 Answers

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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

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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