
Series | The Ratio Test: Theory and 1 Example
Interactive Video
•
Science, Mathematics
•
University
•
Practice Problem
•
Hard
Wayground Content
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The video tutorial introduces the ratio test, a method used in calculus to determine the convergence or divergence of series. It explains when to use the ratio test, particularly when dealing with factorials, and provides a step-by-step guide on how to compute it. An example is given to illustrate the process, showing how to simplify algebraically and evaluate limits. The tutorial concludes with a brief mention of the root test, which shares similar conditions with the ratio test.
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3 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
How do factorials affect the application of the ratio test?
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
Describe the process of computing the ratio test using a sub N + 1.
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
What conclusion can be drawn if the limit L is found to be 0?
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