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The function, f(x)=[|x|]-|[x]| where [] ...

The function, `f(x)=[|x|]-|[x]|` where [] denotes greatest integer function:

A

is continuous for all positive integers

B

is discontinuous for all non positive integers

C

has finite number of elements is its range

D

is such that its graph does not lie above the x - axis.

Text Solution

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The correct Answer is:
A, B, C, D
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