Calc I in class problems

We’ll have problems on our quiz this Friday that are pretty similar to the following. Let’s take this opportunity for you to give practice solving these problems and writing their solutions clearly.

The problems are simply to compute the following limits:

1. \(\displaystyle \lim_{x\to\,27} \frac{x - 2}{x^2 + x - 6}\)
2. \(\displaystyle \lim_{x\to\,2} \frac{x - 2}{x^2 + x - 6}\)
3. \(\displaystyle\lim_{x\to\,-3} \frac{x - 2}{x^2 + x - 6}\)