Finding a Power Series Representation for a Logarithm Function

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omg this guy needs to be paid big time!! my calc professor is a grad student that cant explain a thing!! this is so much easier than how he attempted to explain for over an hour!!

lsramos

That moment when its a great explanation but you dont have the brain power to take it all in

bdasaw

I was doing good in calc 2 till series decided it was time to put me in my place and make me feel dumb again lmao I hate math

ev

The differentiation of (1-x) is -1 (Constant becomes 0, and -x becomes -1).

So if u=1-x, then du/dx = -1, then du= -1(dx) = -dx.

micogobodo

Everyone, you need to make sure you increase the 'starting n' when you integrate. The final answer should be the summation from 1 to infinity.

bradys.

Thank you so much!!! I was having the hardest time figuring out how to add the two series together. It makes so much sense now!

jonathangivens

Thank you so much! The part where you added the two series by first expanding them out was most helpful for me :)

LailyAjellu

how come you're allowed to take 1-x out of ln(1-x)?

sofiavalbuena-castor

Thank you so much for this demonstration!

hiisgreat

@reddevil16carrick lol, you are watching a LOT of videos each day then : ) you must open 1000 during each visit

patrickjmt

look at the power series representation for ln(1+x), and everywhere you see an x in the summation substitute in an x^5

Ftomcat

You're amazing sir. You. It's only you. You're the one.

sydneydwoskin

do you take speed before making these videos?

rherd

Patrick, thanks for your public service!

SortEnthusiast

why don't you just let du = dx at 1:08?
why does it have to be du = (-1)dx?

Determan

ﺍﻟﺘﺮﺟﻤﺔThank you very much professorial benefited greatly from the lessons series شكرا جزيلا 

lulume

Thanks Patrick! I think I am now responsible for at least 70% of your site visits & page views.

reddevilcarrick

I finally understand this. Thank you so much!

zofiarocks

When you say the series x^n=1/(1-x) is that only for values of x that are -1>1?

Alex-xkqc

how (-x)^n become (-1)^n Multiply to (x)^n it will become (-x)^2n it suppose to be (-1) multiply to (x)^n?? answer please ASAP

monisonverastigue

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