Solution-Definition of a cauchy sequence

Definition of a cauchy sequence

Reference no: EM131098702

Question:

Definition of a Cauchy Sequence:

A sequence (a_n) 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 |a_n - a_m| < ε.

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

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

Reference no: EM131098702

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Definition of a cauchy sequence

Reference no: EM131098702

Reference no: EM131098702

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