Final answer:
The comparison test is a method used in mathematics to determine the convergence or divergence of a series by comparing it to a known convergent or divergent series.
Step-by-step explanation:
In mathematics, series can be evaluated using the comparison test. The comparison test is a method used to determine the convergence or divergence of a series by comparing it to a known convergent or divergent series. To use the comparison test, you compare the given series to another series whose convergence or divergence is already known.
Here is how to use the comparison test to evaluate a series:
- Step 1: Identify a known convergent or divergent series to compare the given series to.
- Step 2: Compare the given series to the known series. If the given series behaves in a similar manner as the known series, then the given series also converges or diverges.
- Step 3: If the given series behaves differently than the known series, then the convergence or divergence of the given series is inconclusive.