Converging and Diverging Sequences Using Limits (Patreon)

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. Calculus 1 - Derivatives: https://www.youtube.com/watch?v=5yfh5cf4-0w Antiderivatives: https://www.youtube.com/watch?v=xaCPDMEkbig Work Problems - Calculus: https://www.youtube.com/watch?v=TLw8xbmnY3c Integration By Parts: https://www.youtube.com/watch?v=sWSLLO3DS1I Trigonometric Substitution: https://www.youtube.com/watch?v=ocgjfF2AboA Slope Fields: https://www.youtube.com/watch?v=Wr9VOum9Co0 _________________________________________________________________________________________ Improper Integrals: https://www.youtube.com/watch?v=ND9cEdfCFr0 Converging & Diverging Sequences: https://www.youtube.com/watch?v=XdkoTb8PEG0 Monotonic & Bounded Sequences: https://www.youtube.com/watch?v=tHy3TXmZpF0 Absolute Value Theorem - Sequences: https://www.youtube.com/watch?v=kH5Zqg5j-3M Squeeze Theorem - Sequences: https://www.youtube.com/watch?v=21loY9MBK3A Geometric Series & Sequences: https://www.youtube.com/watch?v=zRKZ0-kOUZM Introduction to Series - Convergence: https://www.youtube.com/watch?v=zg9N2gAf6a4 Divergence Test For Series: https://www.youtube.com/watch?v=nC_IU1IzzS4 Harmonic Series: https://www.youtube.com/watch?v=OqBZCycIYfw Telescoping Series: https://www.youtube.com/watch?v=XVkdhU6nJbo ________________________________________________________________________________________ Integral Test For Divergence: https://www.youtube.com/watch?v=f9SJz4-UaQQ Remainder Estimate - Integral Test: https://www.youtube.com/watch?v=vaU5DDcTfZk P-Series: https://www.youtube.com/watch?v=x621rtIwb_4 Direct Comparison Test: https://www.youtube.com/watch?v=oZtAgihok5s Limit Comparison Test: https://www.youtube.com/watch?v=LBxYQ0TJxYM Alternating Series Test: https://www.youtube.com/watch?v=DRO1kPT4iS8 Alternate Series Estimation Theorem: https://www.youtube.com/watch?v=FkUrAgBzAZo Absolute & Conditional Convergence: https://www.youtube.com/watch?v=FPK6LO1iiXc The Ratio Test: https://www.youtube.com/watch?v=kkfILYpkJS8 The Root Test: https://www.youtube.com/watch?v=ahf0eXOll1M Series Tests - Practice Problems: https://www.youtube.com/watch?v=0YeON4p0ogw ________________________________________________________________________________________ Taylor & Maclaurin Polynomials: https://www.youtube.com/watch?v=urPIxvNBXF0 Taylor's Remainder Theorem: https://www.youtube.com/watch?v=lY0LzJXTgeo Power Series - Interval Convergence: https://www.youtube.com/watch?v=EGni2-m5yxM Power Series - Derivatives & Integrals: https://www.youtube.com/watch?v=nD6hai32ykQ PS - Function Representation: https://www.youtube.com/watch?v=54yldObvvwY Finding The Power Series: https://www.youtube.com/watch?v=PmHaNjDBh_c PS - Representation By Integration: https://www.youtube.com/watch?v=0HyM3nM87mk PS - Representation By Natural Logs: https://www.youtube.com/watch?v=A6JdlY52NFg Taylor & Maclaurin Series: https://www.youtube.com/watch?v=LDBnS4c7YbA Binomial Series: https://www.youtube.com/watch?v=V1AKAkGJlN8 _______________________________________________________________________________________ Parametric Equations: https://www.youtube.com/watch?v=97pe-QlSGqA GRE Math Test Prep: https://www.youtube.com/watch?v=z6lbrzaCbdk Calculus 2 Final Exam Review: https://www.youtube.com/watch?v=3RwUIP9pMSo Full Length Exams + Worksheets: https://bit.ly/4990rzU