Mathematics · 2021
JEE Main · 24 February 2021, Shift 1 · Q69
If f: R → R is a function defined by f(x)=[x-1] cos ((2 x-1)/2) π, where [·] denotes the greatest integer function, then f is:
If $\displaystyle f: \mathbf{R} \rightarrow \mathbf{R}$ is a function defined by $\displaystyle f(x)=[x-1] \cos \left(\frac{2 x-1}{2}\right) \pi$, where $\displaystyle [\cdot]$ denotes the greatest integer function, then $\displaystyle f$ is :
Official answer
(4)
continuous for every real $\displaystyle x$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.