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

The function `f(x)=x-[x]` , where [⋅] denotes the greatest integer function is (a) continuous everywhere (b) continuous at integer points only (c) continuous at non-integer points only (d) differentiable everywhere

A

is continuous for all positive integers

B

is discontinuous for all non-positive integers

C

has finite number of elements in its range

D

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

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A, B, C, D
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