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Question

The function f(x)=4−x24x−x3 is

A
discontinuous at only one point
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B
discontinuous exactly at two points
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C
discontinuous exactly at three points
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D
None of these
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Solution

The correct option is C discontinuous exactly at three points
Denominator is having 3 roots

x=0,2 and 2.

So, discontinuous at 3 points.
Hence, 'C' is the answer.

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