# Homework Help: 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.

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