# Homework Help: Sequence Convergence

1. Mar 21, 2013

### whatlifeforme

1. The problem statement, all variables and given/known data
Converge or diverge?

2. Relevant equations
$\displaystyle a_{n} = \frac{(-1)^{n+1}}{2n-1}$

3. The attempt at a solution
all i know is to perhaps take ln of numerator and denominator to get the exponent down below?

2. Mar 21, 2013

### SammyS

Staff Emeritus
Do you know the squeeze theorem ?

3. Mar 21, 2013

### whatlifeforme

I do.

4. Mar 21, 2013

### Zondrina

It appears the sequence is conditionally convergent.

1. What is $\sum |a_n| = \space ?$

2. Is $a_n > a_{n+1}$? For sufficiently large n.

3. lim nāā .... = ....

5. Mar 21, 2013

### LCKurtz

Are you asking about a sequence or a series? You should fill in part one of the homework template more completely.

Last edited: Mar 21, 2013
6. Mar 21, 2013

### whatlifeforme

sequence.

7. Mar 21, 2013

### LCKurtz

So show us what you have done so far in thinking about whether that sequence has a limit.