# How do you determine if Sigma (2n-3)/(5n+6) from n=[0,oo) converge and find the sums when they exist?

##### 1 Answer
Oct 28, 2017

The sum diverges.

#### Explanation:

Sum of an infintite series ${\sum}_{n = 0}^{\infty} {a}_{n}$ converges only if ${\lim}_{n \to \infty} {a}_{n} = 0$.

In this question, lim_(n->oo)(2n-3)/(5n-6)=2/5≠0 and the sum diverges to infinity.