Chapter B, Problem 24AYU

To determine

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

Answer to Problem 24AYU

Solution:

The given sequence diverges.

Explanation of Solution

Given:

$\left\{a_n\right\} = \left\{\frac{n}{e^n}\right\}$

Calculation:

$\left\{a_n\right\} = \left\{\frac{n}{e^n}\right\}$

$\underset{n \to \infty }{\lim } a_n = \underset{n \to \infty }{\lim } \left\{\frac{n}{e^n}\right\} = \infty$

Hence the sequence diverges.