I have the sequence (3+n-n^2)/(1+2n). I need to prove that this sequence diverges to negative infinity. So I have to find an N such that n>N implies that the sequence is less than any real number M. I understand how it works but the proofs for positive infinity seem to be easier. I've been trying to reduce it, making it bigger and bigger until it's less than M: sequence<...<...<M. I've even simplified it to numerous little expressions, but I either end up losing the negative, getting something like n squared, or not being able to find the N. So lost, I appreciate the help!

josette