# Chapter 2 - Limits - Chapter Review Exercises - Page 94: 43

$$\infty$$

#### Work Step by Step

We evaluate the limit: \begin{align*} \lim _{x \rightarrow 1+}\left(\frac{1}{\sqrt{x-1}}-\frac{1}{\sqrt{x^{2}-1}}\right)&=\lim _{x \rightarrow 1+} \frac{\sqrt{x+1}-1}{\sqrt{x^{2}-1}}\\ &=\infty \end{align*}

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