Limits of Rational functions Questions and solutions

The rational functions are involved in limits operations and the limits of rational functions should be evaluated. The worksheet on limits of rational functions is given here for your practice and solutions to learn how to find the limit of a rational function in different mathematical approaches in calculus.

Evaluate $\displaystyle \large \lim_{x\,\to\,2}{\normalsize \dfrac{x^3-8}{x^2-4}}$

Evaluate $\displaystyle \large \lim_{x\,\to\,0}{\normalsize \dfrac{e^x-1-x}{x^2}}$