Prove by the principle of mathematical induction that \( \mathrm{P}...

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Prove by the principle of mathematical induction that
\( \mathrm{P} \) for all \( n \in N \).

W
\[
\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\ldots+\frac{1}{n(n+1)}=\frac{n}{n+1}
\]
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