# How do you test for convergence #(sin(2n))/(1+(2^n))# from n=1 to infinity?

##### 1 Answer

Apr 25, 2018

Converges by the Direct Comparison Test.

#### Explanation:

We can use the Direct Comparison Test for this.

On the interval

So, for our comparison sequence

We can also drop the constant

Now, we know the series

Then, since the larger series converges, so must the smaller series.