If f: R \to R is a function defined by f(x)=[x] \cos (\frac{2 x-1}{2}) \pi, where [ {\x}] denotes the greatest integer function, then f is [AIEEE 2012]

Correct Answer is : continuous for every real x

discontinuous only at non-zero integral values of x

Limits, Continuity and Differentiability Part 1

Section: Mathematics

Question : 74 of 100

Marks: +1, -0

If f:R→R is a function defined by
f(x)=[x]‌cos(‌

2x−1

)‌π,
where [x] denotes the greatest integer function, then f is

[AIEEE 2012]

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