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Let [x] denote the integral part of x i...

Let [x] denote the integral part of `x in R and g(x) = x- [x]`. Let `f(x)` be any continuous function with `f(0) = f(1)` then the function `h(x) = f(g(x)` :

A

has finitely many discontinuities

B

is discontinuous at some x = c

C

is continuous on R

D

is a constant function

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The correct Answer is:
C
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