10.3

Question 1

When does a series of non negative terms converge

Answer 1

If and only if its partial sums are bounded from above

Question 2

What does the integral test say

Answer 2

If {an} is a sequence of positive terms where an = f(n), and f is:

-Continuous
-Positive
-Decreasing

Then the series and integral of the function both either converge or diverge

You can solve for the integral and see if it has a real sum over the bounds specified