Consider the function f:R to R defined b...

Consider the function `f:R to R` defined by `f(x)={((2-sin((1)/(x)))|x|,",",x ne 0),(0,",",x=0):}`.Then f is :

A

Monotonic on `(-oo, 0) cup (0, oo)`

B

Monotonic on `(-oo, 0)` only

C

Monotonic on `(0, oo)` only

D

Not monotonic on `(-oo, 0) and (0, oo)`

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The correct Answer is:

D

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