Chapter B, Problem 14AYU

In Problems 5-28, determine whether each sequence converges or diverges. If it converges, find its limit.

$\left\{s_n\right\}=\left\{4^n\right\}$

To determine

To find: Determine whether each sequence converges or diverges. If it converges, find its limit.

Answer to Problem 14AYU

Solution:

The given sequence diverges.

Explanation of Solution

Given:

$\left\{s_n\right\} = \left\{4^n\right\}$

Calculation:

$\left\{s_n\right\} = \left\{4^n\right\}$

$\underset{n\to \infty }{\lim }\left\{s_n\right\}=\underset{n\to \infty }{\text{lim}}\left\{4^n\right\}=\infty$

Hence the sequence diverges.