1.

The greatest coefficient in the expansion of \[{{(1+x)}^{2n+1}}\] is [RPET 1997]

A. \[\frac{(2n+1)\,!}{n!(n+1)!}\]
B.   \[\frac{(2n+2)!}{n!(n+1)!}\]
C.   \[\frac{(2n+1)!}{{{[(n+1)!]}^{2}}}\]
D.   \[\frac{(2n)!}{{{(n!)}^{2}}}\]
Answer» B.   \[\frac{(2n+2)!}{n!(n+1)!}\]


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