Question

Does the sequence converge or diverge calculator

A) SequenceDivergence()
B) ConvergenceCheck()
C) DetermineConvergence()
D) SequenceConvergenceCalculator()

Answer 1

To check whether a sequence converges or diverges, you need to calculate the limit of the sequence. If the limit exists, the sequence converges.

Step-by-step explanation:

The correct method to check whether a sequence converges or diverges is by using the concept of limits. You can determine the convergence or divergence of a sequence by calculating the limit of the sequence. If the limit exists, the sequence converges; otherwise, it diverges.

To find the limit of a sequence, you can use the Limit Comparison Test or the Ratio Test, depending on the sequence's form. These tests help determine whether a sequence behaves similar to another known convergent or divergent sequence.

For example, if you have a sequence represented by the formula an = 1/n, you can calculate the limit of this sequence as n approaches infinity. In this case, the limit would be 0, indicating that the sequence converges to 0.