Answer to Question #158013 in Calculus for Cypress

Question

Determine the limit when x goes to zero (x^(2)+5x-4)/(x^(2)+1) if it exists.

Answer 1

$\lim \limits_{x \to 0} \frac{x^{2} + 5x - 4}{x^{2} + 1} = \frac {(0)^{2} + 5(0) - 4}{(0)^{2} + 1} = \frac{0+0-4}{0+1}$

$\lim \limits_{x \to 0} \frac{x^{2} + 5x - 4}{x^{2} + 1} = \frac{-4}{1} = -4$