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Question

If f(x)=⎪ ⎪⎪ ⎪[x], 2x122x21, 12<x2; where [.] represents the greatest integer function, then the number of point(s) of discontinuity of f(x) is

A
1
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B
continuous at every point in domain
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C
2
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D
3
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Solution

The correct option is C 2
f(x)=⎪ ⎪⎪ ⎪[x], 2x122x21, 12<x2
f(x)=⎪ ⎪ ⎪ ⎪⎪ ⎪ ⎪ ⎪2, 2x<11, 1x122x21, 12<x2


From graph it is clear that function is discontinuous at x=1,12 in the given domain.

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