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Definition of a cauchy sequence

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Question:

Definition of a Cauchy Sequence: 

A sequence (an) is called a Cauchy sequence if, for every ε > 0, there exists an N ∈ natural number such that whenever m,n ≥ N it follows that |an - am| < ε.

 Sn = (-1)n/n. For all n in natural number

Prove that the given sequence: Sn is a Cauchy sequence by using DEFINITION.

Reference no: EM131098702

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