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Q.

If f(x)={x2}-({x})2,  where {x}  denotes the fractional part of x  then

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a

f(x)  is continuous at x=2  but not at x=−2

b

f(x) is continuous at x=−2  but not at x=2

c

f(x)  is continuous at x=−2  but not at x=−2

d

f(x)  is discontinuous at x=2  and =x=−2

answer is A.

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Detailed Solution

f(2)=0,f(2−0)=1−1=0,f(2+0)=0−0=0 f(−2)=0,f(−2−0)=0−1=−1 ⇒f(x)  is continuous at 2  but not at −2
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