Series: Divergence and Integral Tests

Series: Divergence and Integral Tests

Open Ended

For each of a,b,c what can you conclude based on the divergence test?

• We can use this to show that $\sum_{n=1}^{\infty}\frac{1}{n}$  diverges.

• We can use this to show that $\sum_{n=1}^{\infty}\frac{1}{n^2}$ converges.

• We can do this by looking at the corresponding improper integrals. (Paper interlude)

Open Ended

Open Ended