## Question

###### If $f(x)=left[frac{1}{sqrt{2}}(cos x+sin x)ight], 0<x<2 pi$, where $[.]$denotes the greatest integer function, then the number of points of discontinuity of $f(x)$ is(A) 5(B) 4(C) 3(D) None of these

If $f(x)=left[frac{1}{sqrt{2}}(cos x+sin x) ight], 0<x<2 pi$, where $[.]$ denotes the greatest integer function, then the number of points of discontinuity of $f(x)$ is (A) 5 (B) 4 (C) 3 (D) None of these

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