f(x) = [x − 1] cos((2x − 1)π... | JEE Main 2021 | Continuity

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JEE MAIN 2021

24-02-21 S1

Question

If $f: \mathrm{R} \rightarrow \mathrm{R}$ is a function defined by $f(\mathrm{x})=[\mathrm{x}-1] \cos \left(\frac{2 \mathrm{x}-1}{2}\right) \pi$, where [.] denotes the greatest integer function, then f is :

Select the correct option:

A

discontinuous at all integral values of x except at x = 1

B

continuous only at x = 1

C

continuous for every real x

D

discontinuous only at x = l

✓ Correct! Well done.

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