Question

How to tell if a sequence converges or diverges calculator.

Answer 1

To determine if a sequence converges or diverges, you can use a calculator such as the TI-83, 83+, 84, or 84+. Enter the values of the sequence into the calculator and use the limit function to find the limit of the sequence. If the limit exists and is a finite number, then the sequence converges. If the limit does not exist or is infinity, then the sequence diverges.

Step-by-step explanation:

To determine if a sequence converges or diverges, you can use a calculator such as the TI-83, 83+, 84, or 84+. Here are the steps:

1. Enter the values of the sequence into the calculator.
2. Use the calculator's function to find the limit of the sequence. If the limit exists and is a finite number, then the sequence converges. If the limit does not exist or is infinity, then the sequence diverges.

For example, if you have the sequence {1, 1/2, 1/4, 1/8, ...}, you can enter these values into the calculator and use the limit function to find that the limit is 0. Therefore, the sequence converges to 0.