post..

okay, so i'll start with things i don't understand.

1. i still don't understand how to tell if it converges/diverges. i skip all those problems

2. i don't understand improper integrals... they just don't click in my head.

3. i need help with some of those random trig function problems that are like S sec^6(2x). can someone briefly go over some rules about those.

4. trig sub... i can only do those on a good day. i'll get lost after finding x = ... (sqrt)x =..... and then i plug it in and i get stuck..

5. i'm also a litttleeeee confused on whether on not something is bounded. i didn't really get that. i understand monotonic though. which is what i'll go over

when it asks you if a sequence/series is monotonic... that means that it wants to know if it is always increasing/always decreasing.
so you plug in about 4 or 5 numbers (0-5), and see if it constantly goes up, constantly goes down, or isn't constant. if it is constant, it's monotonic. if it is NOT constant, it's NOT monotonic.
and i understand that usually your function is bounded by your first term... but i'm confused about the limit and stuff. you have to take the limit or something and sometimes it's bounded below? idk i'm kinda lost.