Mathematics

Mathematics

Problem

If

f(x)=\left\lfloor x^{-2}\left\lfloor x^2\right\rfloor\right\rfloor

(where

\lfloor\cdot\rfloor

denotes the greatest integer function) and

x\neq 0

, which statement is incorrect? 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

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