Chapter 1 - Limits and Continuity - 1.3 Limits At Infinity; End Behavior Of A Function - Exercises Set 1.3 - Page 79: 9

$$-\infty$$

Given $$\lim _{x \rightarrow+\infty}\left(1+2 x-3 x^{5}\right)$$ Then \begin{align*} \lim _{x \rightarrow+\infty}\left(1+2 x-3 x^{5}\right)&=\lim _{x \rightarrow+\infty}x^5\left(\frac{1}{x^5}+2 \frac{x}{x^5}-3 \right)\\ &=-\infty \end{align*}