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maw [93]
3 years ago
14

Prove: The difference of the reciprocals

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Step-by-step explanation:

let two successive integers n, n+1

difference of the reciprocals:

\frac{1}{n}-\frac{1}{n+1} \\=\frac{(n+1)-n}{(n)(n+1)}\\=\frac{1}{(n)(n+1)}\\=\frac{1}{(n)}\frac{1}{(n+1)}\\

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