If \( (1+x)^{n}=C_{0}+C_{1} x+C_{2} x^{2}+C_{3} x^{3}+C_{n} x^{n} \...

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If \( (1+x)^{n}=C_{0}+C_{1} x+C_{2} x^{2}+C_{3} x^{3}+C_{n} x^{n} \), prove
\( \mathrm{P} \)
that
W
\[
\frac{C_{1}}{2}+\frac{C_{3}}{4}+\frac{C_{5}}{6}+\frac{C_{7}}{8}+\ldots \frac{2^{n}-1}{n+1}
\]
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