Series | Ratio Test: Another Full Example

Series | Ratio Test: Another Full Example

Assessment

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Science, Mathematics

University

Hard

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The video tutorial explains how to determine the convergence of a series using the ratio test. It begins by introducing the series and the criteria for convergence. The instructor defines a sub n and calculates a sub n plus 1, then applies the ratio test to find the limit. The expression is simplified, and the limit is evaluated to conclude that the series converges absolutely.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the ratio test state about the limit L?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final value of the limit L and what does it indicate about the series?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Summarize the conclusion drawn about the convergence of the original series.

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