By popular demand, here is another video solving a former exam from my Calculus 2 class covering all things SEQUENCES & SERIES! This older exam is on the long side, so this is just Part 1. Grab a snack and a drink, get comfy, and enjoy!
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Professor V
https://linktr.ee/mathwithprofessorv
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Calculus 2 Video Lectures:
https://youtube.com/playlist?list=PLl-Np5U6u5E4z9zWlaf4Redf1iOwU720M&si=oA4XhGxW7_bARRbL
Review of Sigma Notation:
https://youtu.be/Iv6jSDSzoTs?si=C_1aUTgklyzOJUKd
Full Video Lectures for Topics Covered
Sequences:
https://youtu.be/x39Pbv6dlj8?si=DMTjMY0IPXsWTM4e
Monotonic and Bounded Sequences:
https://youtu.be/3tfc5MY2sn0?si=cuWCPHMLo8sd3IWj
The Ratio Test for Sequences:
https://youtu.be/rsnDNv8WriA?si=P6eeK-zhIVA6ce9X
Infinite Series:
https://youtu.be/GFWWoDymGv0?si=wedIBgRvY9rcNSgs
Telescoping Series:
https://youtu.be/1ywKUgYFXa8?si=--AJhu4tG9BnB-L_
The Integral Test:
https://youtu.be/Cr7g-USCovg?si=5y-li4UqdUSwT2I_
Comparison Tests:
https://youtu.be/z6W6NX--7kg?si=938jyeeCquk2IzzX
Comparison Tests Part 2:
https://youtu.be/f_z7HcoDq0Y?si=ttwnFdFUF487GE3_
Alternating Series:
https://youtu.be/H2FmTCXnA1g?si=FoQ4qaKlKAJHqUVQ
Absolute Convergence/Ratio & Root Tests:
https://youtu.be/1s3LR1NHzZQ?si=x_RU0M6L9tSHG_Kr
Ratio Test Part 2:
https://youtu.be/KnYFsOxKkPg?si=HE56GNcNl0S4CNI3
Root Test Part 2:
https://youtu.be/jZ8vN9DOBzM?si=5dyNn49tdlkLFFhg
Testing for Absolute & Conditional Convergence:
https://youtu.be/bLASYus1jWw?si=3HnuSaKjfTSz2rc_
Strategy for Testing Series:
https://youtu.be/zxDZAXRYvdw?si=IE3LHEMjCh2LBLUF
More Strategy for Testing Series:
https://youtu.be/peLhzHn0gB4?si=6WeSnIB6g4aOxWGT
Power Series:
https://youtu.be/xDM3s6h81Pg?si=mJASc7VADJbW2ive
Finding the Radius & Interval of Convergence:
https://youtu.be/DPjRGGOKY3c?si=OPlBCCxQC5vKZu2R
Representation of Functions as Power Series:
https://youtu.be/vvVmIbzRnzw?si=ILuH3Ut5LJ06s47g
Differentiating and Integrating Power Series:
https://youtu.be/_eGzguQ40_o?si=CQwRRtjiVLuy55RG
Power Series MADE EASY!:
https://youtu.be/vL-FYv-KKhA?si=OJib6jcw3fYOSJYs
Taylor & Maclaurin Series Part 1:
https://youtu.be/8UEh0VejRMo?si=KJR-FjCCn-zC6PAT
Taylor & Maclaurin Series/Binomial Series:
https://youtu.be/37TLjCtCvW8?si=f7Fh2wh7mH29JK1z
More Taylor & Maclaurin Series:
https://youtu.be/Wj6lerUoujc?si=_SgLkH8jhwAd-fsM
Using Series to Evaluate Limits:
https://youtu.be/edrKK20wqQI?si=ndv6kd4e19p7mmi9
Applications of Taylor Polynomials:
https://youtu.be/FBTg0wue6lI?si=ziIjgQhqJOevA5Sm
Calculus 1 Video Lectures:
https://youtube.com/playlist?list=PLl-Np5U6u5E54PygbTaBsSzpSmVQVeJHq&si=1bevDEis2u9_Ul8V
Infinite Limits:
https://youtu.be/xd-Zo_MTP1E?si=omDXAPTIemTHE16A
Graphing Piecewise Functions:
https://youtu.be/NxnNMxSc3-8
Limits at Infinity:
https://youtu.be/IQKDJz3rOd0?si=LdY_1_mtP64u_oxA
Continuity & Piecewise Functions:
https://youtu.be/M4jOfowUwq8?si=RLNxMnwl7nz9MDIW
Trig Review:
Unit Circle:
https://youtu.be/nl84YXi1_3A
Trig Identities:
https://youtu.be/SLVrNGi1Br0
Sum and Difference Formulas:
https://youtu.be/9kC8gwkxf6A
Double Angle & Half-Angle Formulas:
https://youtu.be/EaF57Y4B2uY
Calculus 3 Video Lectures:
https://youtube.com/playlist?list=PLl-Np5U6u5E65pRRuD0mBXM4w4fenJ5gD
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