Prove that \frac {C_0}{n}- \frac {C_1}{n+1}+ \frac {C_2}{n+2} -......+(-1)^n\frac {C_n}{2n}=\frac {(n!)(n-1)!}{(2n)!}
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Prove that \frac {C_0}{n}- \frac {C_1}{n+1}+ \frac {C_2}{n+2} -......+(-1)^n\frac {C_n}{2n}=\frac {(n!)(n-1)!}{(2n)!}