# How do you determine if the series the converges conditionally, absolutely or diverges given #Sigma ((-1)^(n))/((2n+1)!)# from #[1,oo)#?

##### 1 Answer

Jun 5, 2018

Compare with known convergent series

To test the series in the question for absolute convergence, sum the absolute value of each term;

We see that this series of uniformly positive terms has a set of terms that is a subset of the set for the series of uniformly positive terms compared to, which converges to a known value.

Hence the series is absolutely convergent.