Given the following sequences. Determine for each sequence it it converges. If so, find its...

Given the following sequences. Determine for each sequence it it converges. If so, find its limit. Assume for all sequences {eq}n \geq 1 {/eq} If it diverges, explain.

1) {eq}a_n = \frac {1-2n}{1+2n} {/eq}

2) {eq}a_n = \frac {n^2 - 2n+1}{n+1)} {/eq}

3) {eq}a_n = \frac {(-1)^n}{2n-1} {/eq}

5) {eq}a_n = \sqrt [n] {3} {/eq}