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Remainder Estimate for the Integral Test + Example - Hive - YouTube - Notes - Playlist - Sequences and Series In this video, I approximate the accuracy of the partial sums of a series that converges via the Integral Test by estimating the size of the remainder.…
Estimating Sum of Series as the Midpoint is a much better Approximation than the Partial Sum - Hive - YouTube - Notes - Playlist - Sequences and Series

In this video, I show that modifying our earlier Theorem 2 remainder estimate by adding the partial sum to both sides of the inequality provides a much better approximation than simply using the partial sum to approximate the sum of the series. This is because we now obtain an interval rather than just a simple sum. Taking the midpoint of the interval means that the maximum error is less than half the interval itself. I illustrate this by taking a second look at the series from Example 5, and show that with just 10 terms of the partial sum, we obtain the same accuracy that we had previously done with 32 terms.

#math #calculus #series #approximation #education
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MES Math Q/A 69: What is Electromotive Force (EMF)? - YouTube - Rumble - Odysee - BitChute - X - Twitch - Math Q/A playlist

If you have math or science equations I may have answers.

August 12, 2026 Wednesday at 10:00 AM PST

#math #physics #science #electromagnetism #emf
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