Alternating series estimation theorem (KristaKingMath)

Learn how to use the alternating series estimation theorem to estimate the sum of a series and find the remainder term, which is the difference between the estimation and the exact sum of the series.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[coywill]

Thank you for having your videos so well organized together. I didn't have to waste a bunch of time finding the right videos for the subject. Very good explanations as well.

[bud]

Hey! I am using this theorem in my math physics course! I am over my head on tensors and metrics but the series we are doing is much easier! My partial differential equations professor said to me when I told him that I wanted to learn tensor calculus that "mathematicians fear tensors". I see why now!

[vrezhgulyan]

I appreciate the video, helped me out. My only comment is that to show that the series is decreasing it would be better to do a little algebra and show that (n+1)^(2)/ 10 < n^2, showing that the first 3 terms of a series are decreasing isn't enough.

[DanT-iuoc]

amazing oh KK is better than tenured professors and multimillionaire textbook authors...people like her should be rich