# How do you find the limit of (√x2−x)−(√x2−x) as x approaches infinity?

##### 1 Answer
Apr 14, 2018

You may have a mistake in your question.

#### Explanation:

${\lim}_{x \rightarrow \infty} \left(\sqrt{{x}^{2}} - x\right) - \left(\sqrt{{x}^{2}} - x\right)$

$= {\lim}_{x \rightarrow \infty} \left(x - x\right) - \left(x - x\right)$

$= {\lim}_{x \rightarrow \infty} 0 - 0$

$= {\lim}_{x \rightarrow \infty} 0$

$= 0$