Chapter 13.7, Problem 1CP

(a)

To determine

Whether the validity of the equation $\underset{b\to \infty }{\lim }\frac{1}{b^p}=0$ if $p>0$ is true or false.

(b)

To determine

Whether the validity of the provided statement $b^p\to \infty$ as $b\to \infty$ if $p>0$ is true or false.

(c)

To determine

Whether the validity of the provided equation $\underset{b\to \infty }{\lim }{e}^{-pb}=0$ if $p>0$ is true or false.