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.