Chapter 11.4, Problem 1E

To determine

To evaluate: the word that should be filled in the blank space.

Answer to Problem 1E

The blank space should contain zero.

Explanation of Solution

Given:

  $\underset{x\to \infty }{\lim }\frac{1}{x^r}=\mathrm{...........}$

It is given that,

  $\underset{x\to \infty }{\lim }\frac{1}{x^r}=\mathrm{...........}$

If r tends to infinity, the function tends to zero.

So, the blank space should contain zero.