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The number of point at which the functio...

The number of point at which the function `f(x)=|x-1|+[x-2]+cosx,` where `x in [0,4]` is not continuous, is `([.]` denotes greatest intergest function}

A

1

B

2

C

3

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Given , `f(x) =|x-1|+|x-2| +cos x`
Since, `|x-1|, |x-2| and cos x` are continuous in [0, 4].
`therefore f(x)` being sum of continuous functions is also continuous.
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