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