Understanding Geometric Series & The Test for Divergence
This video covers everything you need to know about geometric series and the test for divergence. I walk through how to determine if a series converges or diverges by focusing on the value of the common ratio r and provide examples that illustrate these concepts clearly. Also, learn how to apply the test for divergence to squences that do not approach zero.
What You Will Learn:
How to identify a geometric series and understand its properties.
A comprehensive look at the convergence conditions of geometric series based on their common ratio r.
How to apply the sum formula : 𝑎/(1−𝑟) to convergent geometric series and calculate their sums.
Examples demonstrating the use of the test for divergence and recognizing series that diverge.
In this video, you’ll develop a deeper understanding of series in calculus and gain the tools to analyze whether they converge or diverge. From identifying geometric series to applying the divergence test, you’ll be ready to tackle a range of series-related problems.
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