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a_n = 1 + ½! + 1/3! + ... + 1/n! is a Cauchy sequence

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Show directly from the definition that a_n = 1 + ½! + 1/3! + ... + 1/n! is a Cauchy sequence.

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It is an explanation for solving a_n = 1 + ½! + 1/3! + ... + 1/n! is a Cauchy sequence.The solution is given in detail.

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We have to show directly from the definition that an = 1 + ½! + 1/3! + ... + 1/n! is a Cauchy sequence.

The solution of the Posting ID 348201

Cauchy sequence :- A sequence is said to be a Cauchy sequence if for every there exists such that

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Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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