Calculus - Direct & Limit Comparison Test

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.

Calculus, divergent + convergent = divergent, 11 4 #5.
Calculus, Comparison Test (LCT), 11 4 #5.
Calculus, Comparison Test (LCT), 11 4 #7.
Calculus, Comparison Test (DCT), 11 4 #7.
Calculus, Comparison Test (LCT), 11 4 #21.
Calculus, Comparison Test (LCT), 11 4 #28.
Calculus, 11 3 #26 (direct comparison).
Series of sin(1/n) diverges, Limit comparison test, sect 11.4#31.
Series of sin(1/n^2), Limit comparison test.
series of cos(1/n), test for divergence.
THE FACT.
telescoping series of arctan(n)-arctan(n+1).