Explore the ratio test for determining absolute convergence of infinite series in this 12-minute calculus video. Learn how to evaluate the limit of consecutive term ratios to establish convergence or divergence. Examine three practical examples, including series with alternating signs and factorial terms. Understand when to apply the ratio test effectively and its limitations. Gain insights into this powerful tool for analyzing series convergence, essential for Calculus 2 and AP Calculus BC coursework.
Overview
Syllabus
Intro
Definitions
Ratio Test
Example 1 -1^n*n^2/2^n
Example 2 n^n/n!
Example 3 1/n^2
When to use Ratio Test
Conclusion
Taught by
Wrath of Math
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