Chapter 3 - Determining Change: Derivatives - 3.7 Activities - Page 244: 1

$$\lim _{x \rightarrow 2}\left(2 x^{3}-3^{x}\right)=7$$

Given $$\lim _{x \rightarrow 2}\left(2 x^{3}-3^{x}\right)$$ By using the method of replacement \begin{align*} \lim _{x \rightarrow 2}\left(2 x^{3}-3^{x}\right)&=\lim _{x \rightarrow 2}\left(2 (2)^{3}-3^{2}\right)\\ &=\lim _{x \rightarrow 2}\left(7 \right)\\ &=7 \end{align*}