First, let's write down the given series:
$$\sum_{n=1}^{\infty} \frac{2n}{6+7n}$$
Now, let's simplify the expression inside the sum:
$$\frac{2n}{6+7n} = \frac{2}{\frac{6}{n} + 7}$$
As $n$ goes to infinity, the term $\frac{6}{n}$ goes to 0, so the expression
Show more…