# Calculating Limit of Function – A polynomial to the power of a quotient of polynomials – Exercise 5853

### Exercise

Evaluate the following limit:

$$\lim _ { x \rightarrow 2} {(x-1)}^{\frac{2}{x-2}}$$

$$\lim _ { x \rightarrow 2} {(x-1)}^{\frac{2}{x-2}}=e^2$$