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Monotonic Sequences and Bounded Sequences - Calculus 2

This calculus 2 video tutorial provides a basic introduction into monotonic sequences and bounded sequences. A monotonic sequence is a sequence that is always increasing or decreasing. You can prove that a sequence is always increasing by showing that the next term is greater than the previous term. This video also discusses bounded sequences. A sequence can be bounded above or have an upper bound it it has a maximum value it can reach. If there is a minimum value in the sequence, then it has a lower bound or it's bounded below. A sequence that is bounded above and bounded below is said to be bounded. A monotonic sequence that is bounded is said to be convergent. This video explains how to determine the convergence and divergence of a sequence by determining if its a monotonic sequence and if its a bounded sequence. 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   ________________________________ 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   __________________________________ 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   ___________________________________ Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets:   / collections