(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the following limit and prove your results using the definition of the limit:

Lim (-3n^2 + n + 2)/(3n^2 -1)

2. Relevant equations

3. The attempt at a solution

I passed the limit operator (if it is an operator) through and used it's properties to find that the limit is -1. As far as the proof I'm a little stuck. First I tried to solve the inequality which defines a limit for n in terms of epsilon, but I ran into trouble with that.

I think maybe one way to do it is to prove that it is a decreasing sequence with a lower bound of -1, although I'm not even sure if this is the case. I wish I knew how to format this so I could give a better idea of the question and my attempts at it, but I'm brand new and don't know how to do things as simple as write an equation using absolute values, limits, and epsilons. Any help at all is appreciated.

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# Homework Help: Proof of a limit

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