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