Alternating Series - Error Estimation

[OldMannGeekin]

You just explained this better to me in 2 minutes then my professor did in 45. I actually understand it now. You are a life saver!

[onice]

so two weeks of series that made no sense what so ever somehow made perfect sense in two and a half minutes. you are absolutely amazing!! thank you so much!!

[parsakhodabakhshi]

I would like to say i love you for making free content and actually getting to the point. You are amazing!

[iDarren]

This is a million times easier to understand than the definition in my book. Thank you! The book makes it so unnecessarily difficult.

[MrInventer]

This problem was the exact one i had, THANK YOU SO MUCH I JUST SPENT THE LAST 3 HOURS CONFUSED. This man cleared my confusion in 2 mins. Papa bless

[silviaalbi]

 you've saved my tomorrow exam with your videos!! 100 times better explained than my teacher 

[writethemoon]

Awww yeah. Cramming for a Calculus exam. This is wonderful - thank you!

[georgeebeling]

You've just saved my life. I watched three videos before this, and this is the one that made sense.

[patrickjmt]

i do not think i would like to teach at harvard; thanks though! :)

[lukevillaluz]

Beautiful and quick explanation thank you so much

[connorbvt]

Great video, short and simple to understand. Thank you!

[frnakiehoo]

Why are not all math teachers like you.IT DOESN"T MAKE ANY SENSE

[tomatosteve]

Thank you so much my guy, I now understand this fuckery for my test

[tijean]

how did you know to stop at the first 3 terms

[thebookylnlord]

This is extremely late but I don’t understand why you only added the first three terms? Where did you get that from ?

[R_dacted]

Is there a way to do this without plugging in an arbitrary amount of partial sums?

I'm trying to do a similar type of problem but, after plugging the series into my calculator, I'd end up needing over 10, 000 terms!

Obviously I'm not gonna sit there and write out S1 - S10000, so this plug-and-chug / trial and error method of doing this is impractical. And I'm not gonna write "my calculator says this" for my work...

[edisondotme]

I don't understand what happens after 1:25
Do the zeros after the decimal signify how accurate you get? And how would you do a problem where they ask you to estimate some series to x decimal places?

[brandon.duffany]

Yes. Imagine 0.01 as and that's why you have those two zeroes there. Anything with two zeroes after the decimal point has to be less than and so therefore, anything with two zeroes has an error accurate to two decimal places,

[generalgrievous]

Can you please also explain in questions where they just say give the sum within an error of say 10^-6 . I can do questions with dp, but not those

[Orangesoda]

You have everything, I love you. I will be buying your packet to study with :)