Converging and Diverging Sequences Using Limits - Practice Problems

This calculus video tutorial provides a basic introduction into converging and diverging sequences using limits. It explains how to write out the first four terms of a sequence and how to determine if a sequence converges or diverges by finding the limit of a sequence. If the limit exists and it equals to some constant L as n approaches infinity, then the sequence converges. If the limit does not exist or increases or decreases without bound, that is, to positive or negative infinity - then the sequence diverges. This video contains plenty of examples and practice problems of determining if a sequence is convergent or divergent using Lhopital's rule, the squeeze theorem, and properties of logarithms. It contains example problems with trigonometric functions such as sine and cosine, natural logarithms, square root functions, factorials, and exponential functions.

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Improper Integrals:
   • Improper Integrals - Convergence and ...  

Converging & Diverging Sequences:
   • Converging and Diverging Sequences Us...  

Monotonic & Bounded Sequences:
   • Monotonic Sequences and Bounded Seque...  

Absolute Value Theorem - Sequences:
   • Absolute Value Theorem For Sequences  

Squeeze Theorem - Sequences:
   • Squeeze Theorem For Sequences  

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Geometric Series & Sequences:
   • Geometric Series and Geometric Sequen...  

Introduction to Series - Convergence:
   • Convergence and Divergence - Introduc...  

Divergence Test For Series:
   • Divergence Test For Series - Calculus 2  

Harmonic Series:
   • Harmonic Series  

Telescoping Series:
   • Telescoping Series  

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Integral Test For Divergence:
   • Calculus 2 - Integral Test For Conver...  

Remainder Estimate - Integral Test:
   • Remainder Estimate For The Integral Test  

P-Series:
   • P-series  

Direct Comparison Test:
   • Direct Comparison Test - Calculus 2  

Limit Comparison Test:
   • Limit Comparison Test  

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