# Calculating Limit of Function – A quotient of functions with square and third roots – Exercise 5936

### Exercise

Evaluate the following limit:

$$\lim _ { x \rightarrow 1} \frac{\sqrt{x}-1}{\sqrt[3]{x}-1}$$

$$\lim _ { x \rightarrow 1} \frac{\sqrt{x}-1}{\sqrt[3]{x}-1}=\frac{3}{2}$$