Chapter 1 - Limits and Continuity - 1.3 Limits At Infinity; End Behavior Of A Function - Exercises Set 1.3 - Page 79: 10

$$\infty$$

Given $$\lim _{x \rightarrow+\infty}\left(2x^{3}-100x+5\right)$$ Then \begin{align*} \lim _{x \rightarrow+\infty}\left(2x^{3}-100x+5\right)&=\lim _{x \rightarrow+\infty}x^3\left(2-\frac{100x}{x^{3}}+ \frac{5 }{x^{3}} \right)\\ &=\infty \end{align*}