Bounded sequences (KristaKingMath)

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Learn how to determine whether or not a sequence is bounded. First you'll need to determine whether or not the sequence is monotonic, and if it is, whether or not it is increasing or decreasing. If the sequence is monotonic, then you can use your conclusion about whether it is increasing or decreasing to tell you whether it is bounded above and/or bounded below. You'll also need to take the limit of the sequence as n approaches infinity.

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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?!”

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6 years ago and it is still way better than any other explanations❤️

taifaldhuhli

Extremely helpful. The hallmark of a great mathematician is to convey the magic of the subject as smoothly and in as simplified manner as possible. You did that job perfectly.

mukulraj

Whenever I need to understand details bit by bit, I chose Krista King. Math couldn't get any easier the way she explains it. Thanks for doing what you the best.

moinaction

Oh man, this is waaaay easier than the book!

MadOrange

Simple, clear, and straightforward. What a breath of fresh air. Subscribed right away

proanimator.

Oh Geez! You just saved my one and half hour. Thanks a bunch.

helloworld

I can't tell you how helpful this was. Keep doing what you're doing!

maxguerra

Your videos are very simple to understand, thanks a lot. It helped me finish my math assignments when I was completely lost haha

faraznahyan

I don't know why the fuck professors don't explain concepts in easy ways as what I see in ths helpful vid

bedof

Thank you, explained it way easier than my textbook.

pepsico

This video explained everything. this is really great. I didn't even knew Monotone sequence. but with this explanation, now Ik both Bounded and monotone sequence and how to know that sequence is which one.

universegameplay

Thank you so much, I even could understand how to get the sup and the inf via your video

mustafaomer

Thaaaanks a lot ma'am! This really helped a lot. Far more easily explained than many other videos. ❤

snsurabhi

I would want my students to do more than just look at the first few terms to prove that a series is increasing/decreasing by either using the derivative of the function f(x) such that a_n = f(n) or by showing that a_n+1< a_n if decreasing and vice versa if increasing. If a student only showed that the function's first few terms had that trend, they could be tricked by one of those series that increased at first and then decreased or vice versa. Check this series out: a_n = (n-5)^2/10 + 10/n. Your method would make the student think that the sequence is decreasing monotonically when in fact it switches and starts to increase and has no limit as n -> oo.

MathBySarah