Using the principle of mathematical induction prove that for all \(...

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Using the principle of mathematical induction prove that for all \( n \in N \) :
\[
\left(1+\frac{1}{1}\right)\left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right) \ldots\left(1+\frac{1}{n}\right)=n+1
\]
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