The interval in which x must lie so that the greatest term in the expansion of \[{{(1+x)}^{2n}}\]has the greatest coefficient, is

\[\left( \frac{n}{n+2},\frac{n+2}{n} \right)\]

\[\left( \frac{n-1}{n},\frac{n}{n-1} \right)\]

\[\left( \frac{n}{n+1},\frac{n+1}{n} \right)\]

The interval in which x must lie so that the greatest term in the ex

1.	The interval in which x must lie so that the greatest term in the expansion of \[{{(1+x)}^{2n}}\]has the greatest coefficient, is
A.	\[\left( \frac{n-1}{n},\frac{n}{n-1} \right)\]
B.	\[\left( \frac{n}{n+1},\frac{n+1}{n} \right)\]
C.	\[\left( \frac{n}{n+2},\frac{n+2}{n} \right)\]
D.	None of these
Answer» C. \[\left( \frac{n}{n+2},\frac{n+2}{n} \right)\]

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The interval in which x must lie so that the greatest term in the expansion of \[{{(1+x)}^{2n}}\]has the greatest coefficient, is

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