Lesson 11.3 Calc 2 (Integral Test and Estimates of Sums)

A series of an infinite sum _________ if the sum = L or if lim S_n = L

converges

A series of an infinite sum ________ if the sum = ±∞ or DNE or in lim S_n = ±∞ or DNE

diverges

In the Divergence Test, if lim a_n ≠ 0 then it

diverges

In a geometric series it ________ if |r| < 1 to a/1-r

converges

In a geometric series, it _______ if |r| ≥ 1

diverges

In the p-series test, it will _______ if p > 1

converge

In the p-series test, it will _______ if p ≤ 1

diverge

divergence test

geometric series

integral test

p-series