Show that, if the greatest term in the expansion of has also the greatest…

MATHEMATICS · Subjective · CBSE · Mathematics · Binomial Theorem · Binomial Theorem

Problem

Show that, if the greatest term in the expansion of

(1+x)^{2n}

has also the greatest coefficient, then

x

lies between

\frac{n}{n+1}

and

\frac{n+1}{n}