Let f:[0,∞)→[0,3] be a function defined by f(x)={\begin{matrix}\mathrm{max}{\mathrm{sin}t:0\leq t\leq \pi },x\in [0,\pi ] \\ 2+\mathrm{cos}x,x>\pi \end{matrix}. Then which of the following is true ?
Held on 27 Jul 2021 · Verified 6 Jul 2026.
f is continuous everywhere but not differentiable exactly at one point in (0,∞)
f is differentiable everywhere in (0,∞)
f is not continuous exactly at two points in (0,∞)
f is continuous everywhere but not differentiable exactly at two points in (0,∞)
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