Question 1
What does the $n$th Term Test for Divergence say about a series $\sum a_n$ if $\lim_{n\to\infty} a_n \neq 0$ or the limit does not exist?
Question 2
Consider the series $\sum_{n=1}^{\infty} \frac{1}{n}$. What does the $n$th Term Test for Divergence tell you?
Question 3
What conclusion can you make about the series $\sum_{n=1}^{\infty} \frac{n}{n+1}$ using the $n$th Term Test for Divergence?
Question 4
Which statement about the $n$th Term Test for Divergence is true?
Question 5
For the series $\sum_{n=1}^{\infty} \frac{(-1)^n}{n}$, what does the $n$th Term Test for Divergence show?