# Limits question

1. Sep 27, 2010

### DrummingAtom

1. The problem statement, all variables and given/known data
Find the limit of x^2/(x-1) as x goes to 1 from the left.

2. Relevant equations

3. The attempt at a solution
It doesn't seem I can factor anything, but could I assume that since the numerator is a constant and the denomination is going to be negative because it's <1 then it's going to negative infinity? Is there anyway to show this algebraically? Thanks.

2. Sep 27, 2010

### ╔(σ_σ)╝

You are correct.

$$\frac{x^2}{1-x} = \frac{x^2 -1}{1-x} + \frac{1}{1-x}$$

The limit as x-> $$1^{-}$$ of $$\frac{x^2 -1}{1-x}$$ is 2.
This
$$\frac{1}{1-x}$$ one does not exist.

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Limits question Date
Taking classical limit question (statistical mechanics ) Yesterday at 6:51 AM
Quick Limits Question Dec 22, 2017
Question about finding the limit of a^(1/n) Nov 1, 2017
Limit question Nov 7, 2016
Limit question May 21, 2016