But what are
your thoughts? What have
you tried? Please re-read the
Read Before Posting thread that's stickied at the top of each subforum and comply with the rules found within. Particularly, please share with us any and all work you've done on this problem, including the parts you know for sure are wrong.
Additionally, please include a few clarifications of the problem statement. You mentioned a limit, but you didn't specify what n is approaching. Is it heading towards \(\displaystyle 0\)? \(\displaystyle 57\pi\)? \(\displaystyle \infty\)? Also, are we dealing with a
series or a
sequence? That is to say, was the full problem text something like:
Evaluate \(\displaystyle \displaystyle \sum_{n=1}^{\infty} \: (-1)^n \dfrac{n}{1+n^2}\)
Or was it something like:
Evaluate \(\displaystyle \displaystyle \lim_{n \to \infty} \: S_n\), where \(\displaystyle S_n = (-1)^n \dfrac{n}{1+n^2}\)
Thank you.