Handout C   #11(b), 15(a), 17

Handout D  #3 (b, c, e), 4 (a,b), 5, 6, 11, 19, 20

Handout C

11.\(f(x) = (2-\frac{x}{x+1})(\frac{x^2}{5+x^2})\)

b) \(\lim_{ x \to \infty } f(x)\)

\(= \lim_{ x \to \infty }(2-\frac{x}{x+1})(\frac{x^{2}}{5+x^{2}}) \to \frac{0}{0}\)

\(= \lim_{ x \to \infty } \left(2-\frac{x}{x+1}\right) * \lim_{x \to \infty}\left(\frac{x^{2}}{5+x^{2}}\right)\)

$$\lim_{ x \to \infty } \left(2-\frac{x}{x+1}\right) * \lim_{x \to \infty}\left(\frac{x^{2}}{5+x^{2}}\right)$$

---

Last update: June 5, 2023
Created: June 5, 2023