Calculus 2 Exam 3 Walkthrough Fall 2025: Sequences & Series Review (Fast Breakdown)

Here’s a fast, high-yield walkthrough of Calculus 2 – Exam 3 covering everything on sequences and series. I zoom through the full exam so you can quickly check your work, compare your solutions, and review the main ideas from the unit.

Since this is a rapid breakdown (I’m literally heading to hot yoga 😅), I’ve linked all of the full-length video lectures below so you can revisit any topic in detail — power series, convergence tests, Taylor/Maclaurin series, and more.

If you just took this exam, I hope this helps you see where you crushed it and where you might need a little more practice. You’ve got this. ❤️

xoxo,
Professor V

🔗 Full-Length Video Lectures (by topic):
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
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Видео Calculus 2 Exam 3 Walkthrough Fall 2025: Sequences & Series Review (Fast Breakdown) канала Math with Professor V