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If f(x)=[x], where x is the greatnest in...

If `f(x)=[x]`, where x is the greatnest integer not greater than x, in (-4, 4), then `f(x)` is

A

discontinuous at `x=0`, only in (-4, 4)

B

continuous at `x=0` only in (-4,4)

C

discontinuous at every integral point of (-4,4)

D

continuous at every integral point of (-4,4)

Text Solution

Verified by Experts

The correct Answer is:
C
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