Chapter 9

Evaluate the limits. (a) \(\lim _{x \rightarrow \infty}\left(\frac{3}{5}\right)^{-x}\) (b) \(\lim _{x \rightarrow-\infty}\left(\frac{3}{5}\right)^{-x}\)

Evaluate the limits. (a) \(\lim _{x \rightarrow \infty}-5\left(\frac{2}{3}\right)^{x}+7\) (b) \(\lim _{x \rightarrow-\infty}-5\left(\frac{2}{3}\right)^{x}+7\)

Factor \(b^{x}\) out of each of the following expressions. (a) \(3 b^{x}-b^{2 x}\) (b) \((3 b)^{x}-b^{x+2}\) (c) \(b^{3 x / 2}-b^{2 x-1}\)