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## Homework Statement

Using a proof by cases, show that (-1)^n * (n/(n+1)) is divergent

## Homework Equations

A sequence a_n is said to be convergent if

For every real number ε > 0, there exists a natural number N such that for all n > N, |a_n − L| < ε.

## The Attempt at a Solution

Tried to make n the next odd integer (2k+1) but struggled to go any further.

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