Series of sin(1/n) diverges, Limit comparison test, sect 11.4#31
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Series of sin(1/n^2), Limit comparison test
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series of cos(1/n), test for divergence
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THE FACT
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telescoping series of arctan(n)-arctan(n+1)
Description:
Learn about the Direct Comparison Test and Limit Comparison Test in calculus through a comprehensive video lecture. Explore convergent and divergent series, apply comparison tests to various problems, and understand key concepts like the divergence of sin(1/n) series and the convergence of sin(1/n^2) series. Dive into practical examples, including telescoping series involving arctangent functions, and gain a solid understanding of these essential calculus techniques for determining series convergence or divergence.