Question

what does it mean in calculus when functions converge, converge conditionally, or converge absolutely?

Answer 1

You must mean when alternating series converge.

Answer 2

So for alternating series, is that when the function converges conditionally or absolutely? And how do you know?

Answer 3

you first check for absolute convergence
if it is not absolutely convergent you the use leibnitz rule for alternating series and see if it converges conditionally

Answer 4

Oh...i see...that makes sense. Thanks!
Also, when using the Direct Comparison Test, can you only use it when it involves geometric series?

Answer 5

no - but if you think it will converge you must compare it to a larger function that you know converges

Answer 6

the limit comparison test is easier to use

Answer 7

oh okay, thank you very much for your help! :)

Answer 8

on paper

Answer 9

how can i show my work
1.4 divide by 1.2

Answer 10

Good job twhiteelsu!