If the middle term in the expansion of \[{{\left( \frac{1}{x}+x\,\sin \,x \right)}^{10}}\] equals to \[7\frac{7}{8}\] then x is equal to; \[(n\in I)\]

\[n\pi +{{(-1)}^{n}}\frac{5\pi }{6}\]

\[n\pi +{{(-1)}^{n}}\frac{\pi }{6}\]

If the middle term in the expansion of \[{{\left( \frac{1}{x}+x\,\sin

1.	If the middle term in the expansion of \[{{\left( \frac{1}{x}+x\,\sin \,x \right)}^{10}}\] equals to \[7\frac{7}{8}\] then x is equal to; \[(n\in I)\]
A.	\[2n\pi \pm \frac{\pi }{6}\]
B.	\[n\pi +\frac{\pi }{6}\]
C.	\[n\pi +{{(-1)}^{n}}\frac{\pi }{6}\]
D.	\[n\pi +{{(-1)}^{n}}\frac{5\pi }{6}\]
Answer» D. \[n\pi +{{(-1)}^{n}}\frac{5\pi }{6}\]

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If the middle term in the expansion of \[{{\left( \frac{1}{x}+x\,\sin \,x \right)}^{10}}\] equals to \[7\frac{7}{8}\] then x is equal to; \[(n\in I)\]

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