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 and decreasing, then the series and integral of the function both either converge or diverge

Question 3

What does the p series rule for series say?

Answer 3

The summation from n to infinity of 1/n^p converges if p>1, and diverges if p<=1