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## Homework Statement

Hello, I was wondering if a falling function needs to fall on it's whole domain? I was solving a series with alternating sings. It says that if the series has alternating signs, that it converges if:

1) lim(n->0)an=0

2) an is a falling function

I was solving this series, and wasn't sure if the function was falling because the series starting from n=2

As you can see in this picture, this function goes ->0 for n->+inf, but starting from 2 it falls from -inf and goes to +inf, so it's not a fall?

## Homework Equations

Similarly, (2*n+3)/(n^2) for n=[1,3]