Consider the infinite series defined by:
A) What is the value of r from the ratio test?
B) What does this r value tell you about the series?
I'm online schooled. I don't have anyone to explain this to me properly. I looked up Youtube videos to get a better understanding of the concept and I'm still struggling to see the concept of doing the ratio test. If someone could help, that would be greatly appreciated. I also have to warn you, I ask a lot of questions, so just be prepared.
I think this has been asked and answered previously somewhere, but I couldn't find where, so:
I still feel very confused.. I'm sorry. I got lost at the 1+nth term. Why would you add the 2 on both sides of the fraction?
After that, I get the work. I tried solving for myself and I got the same answer. So that's the only question I have.
Thank you for helping, by the way!
If the numerator is meant to be 2*(n!), the ratio of the n+1th term to the nth term becomes (n+1)/4. This is greater than 1 for all n>3, so the sum still diverges. However, I think this interpretation of 2n! is unlikely.