Question: Prove that 1/1 2 + 3 + + 1/n(n + 1) = n/(n + 1) for all n N.

Prove that 1/1 ∙ 2 + 3 + ∙ ∙ ∙ + 1/n(n + 1) = n/(n + 1) for all n ∈ N.

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