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If f(x) = [x^(-2) [x^(2)]], (where [*] d...

If `f(x) = [x^(-2) [x^(2)]]`, (where `[*]` denotes the greatest integer function) `x ne 0`, then incorrect statement

A

f(x) is continuous everywhere

B

f(x) is discontinuous at `x = sqrt(2)`

C

f(x) is non-differentiable at x = 1

D

f(x) is discontinuous at infinitely many points

Text Solution

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The correct Answer is:
A
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