The value of \[\underset{x\to \frac{\pi }{2}}{\mathop{\lim }}\,\frac{\int_{\pi /2}^{x}{t\,dt}}{\sin (2x-\pi )}\]is [MP PET 1998]

The value of \[\underset{x\to \frac{\pi }{2}}{\mathop{\lim }}\,\frac{\

1.	The value of \[\underset{x\to \frac{\pi }{2}}{\mathop{\lim }}\,\frac{\int_{\pi /2}^{x}{t\,dt}}{\sin (2x-\pi )}\]is [MP PET 1998]
A.	\[\infty \]
B.	\[\frac{\pi }{2}\]
C.	\[\frac{\pi }{4}\]
D.	\[\frac{\pi }{8}\]
Answer» D. \[\frac{\pi }{8}\]

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The value of \[\underset{x\to \frac{\pi }{2}}{\mathop{\lim }}\,\frac{\int_{\pi /2}^{x}{t\,dt}}{\sin (2x-\pi )}\]is [MP PET 1998]

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