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  • The number of point of discontinuity of <img alt="\mathrm{f(x)=[2 x]^2-\{2 x\}^2}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bf%28x%29%3D%5B2%20x%5D%5E2-%5C%7B2%20x%5C%7D%5E2%

The number of point of discontinuity of \mathrm{f(x)=[2 x]^2-\{2 x\}^2} (where [.] denotes the greatest integer function and {} is fractional part of x) in the interval (-2,2) are

Option: 1

6


Option: 2

8


Option: 3

4


Option: 4

3


Answers (1)

best_answer

\mathrm{ f(x)=([2 x]+\{2 x\})([2 x]-\{2 x\})=4 x-4 x\{2 x\} }

Hence 6 points of discontinuity as function is continuous at \mathrm{x=0.}

Posted by

manish painkra

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