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

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

© BrainMass Inc. brainmass.com October 10, 2019, 1:46 am ad1c9bdddfhttps://brainmass.com/math/algebraic-geometry/cauchy-sequence-348201

#### Solution Preview

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

...

#### Solution Summary

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

$2.19