1. ## Converging series help

Hey everyone, I don't know if I'm posting in the right section, but anyways..I am pretty bad with converging series and I need help with these questions

2. Originally Posted by lemonlime
Hey everyone, I don't know if I'm posting in the right section, but anyways..I am pretty bad with converging series and I need help with these questions

We're not here to do your homework for you. What have you tried?

Comparison test, Ratio Test, Root Test, Lagrange Alternating Series Test are good tests for convergence...

3. Well I know that if a series diverges then it reaches infinity, the converges part I gotta look for the series which has a limit, I plugged in the n=1 into the equation

looking at the questions 1 (since its the easiest) the answer is C and D (right?) cause those two reaches a limit, I'm just a tad bit rusty for the rest of the questions, a lil tip would teach me a lot.

4. Originally Posted by lemonlime
Well I know that if a series diverges then it reaches infinity
Then you "know" something that is not true! For example the series $\sum_{n=0}^\infty (-1)^n= 1- 1+ 1- 1+ \cdot\cdot\cdot$ neither converges nor "reaches infinity".

, the converges part I gotta look for the series which has a limit, I plugged in the n=1 into the equation

looking at the questions 1 (since its the easiest) the answer is C and D (right?) cause those two reaches a limit, I'm just a tad bit rusty for the rest of the questions, a lil tip would teach me a lot.
I can see no sense in say series converge "because they reach a limit" sinced that is the definition of "converge". How do you know they "reach a limit"?