MCQ
Which one of the following functions is not continuous on $(0,\pi )$?
- A$f(x)= cotx$
- B$g(x) =\int\limits_0^x {t\,\,\sin \frac{1}{t}\,\,dt} $
- C$h (x) = \left[ \begin{array}{l}1\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0\,\, < \,\,x\,\, \le \,\,\frac{{3\pi }}{4}\\\\2\sin \frac{2}{9}x\,\,\,\,\,\,\,\,\,\frac{{3\pi }}{4}\,\, < \,\,x < \,\,\pi \, \end{array} \right.$
- ✓$l (x) = \left[ \begin{array}{l}x\sin x\,\,\,\,,\,\,\,\,\,\,\,\,\,\,\,0 < x \le \frac{\pi }{2}\,\\ \\\frac{\pi }{2}\,\sin (x + \pi )\,\,,\,\,\frac{\pi }{2}\, < \,x\, < \,\pi \end{array} \right.$