limit of x-root of x, calculus 1 tutorial

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For calculus tutorials 👉 @bprpcalculusbasics

#math #college #blackpenredpen

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I'm really liking the whitechalkredchalk change right now.

crosisbh

I’m a retired engineer and high school math/physics teacher. Just want to tell you that I love your videos! Thank you so much!

mm

Fun fact: the absolute max of xth root of x occurs at x=e

delusionaljackcoanfan

Pff i did this in my head and i am only 3 years old. But what can i say. I also have an IQ of -1/12

tobiasgorgen

Clickbait. There's no red pen nor black pen.

Nothing_serious

physicists be like: lol infinity to the power of 0 is 1, problem solved

maxiomatic

I was algebra teacher in Richmond, method of teaching, which is breaking the problem to the pieces and explaining them to the student body was really making a big difference on board.... congratulations to you, i hope one day you solve Putnam or such tests, in this explaining way, for people.

aliyardimoglu

I really enjoy watching these videos. Most of them are just gimmicky videos explaining a tough mathematics problem, but they actually consist of standard maths solution steps which I think is really helpful. So far I've passed all my calculus courses at my university and it's all thanks to this guy.
Really hope to see more of this (and maybe throw in another twelve hour differential equation marathon perhaps ;) )👌💪

larswassink

Blackpenredpen is looking fancy today :)

Tranbarsjuice

doing series tests right now and forgot how to take the limit of this kind of problem. thanks so much!

hannahhagerty

Did it in my head via a different method

4^(1/4) = 2^(2/4)
8^(1/8) = 2^(3/8)
1024^(1/1024) = 2^(10/1024)

Note that as our x tends to infinity the exponent tends towards 0.

So we have 2^0 = 1.

Therefore x^(1/x) approaches 1 as x goes to infinity.

nanamacapagal

I just solved this exact same question today. Your way of teaching is really good even a amateur can understand well.

aayush

Love how you broke that problem down into the simple steps

jsnmad

Fast and clear video. I liked it. Try to bring more in this format

jardelkaique

Ok, the answer is 1... oh no, it’s 0.... hmmm c’mon, it may be 1.... no, 0
Then turns out it was 1

lutiga

Nitpicking: you didn't prove that the limit exists, you just proved that if it existed its value would be 1.

barakeel

That dotted line at the end was impressive

aepokkvulpex

Posted on my birthday! What a great gift :D

benjaminbrady

If you do maths like a physicist, you say Lim(x->infty) ln(x)/x = 0 because x gets bigger faster than ln(x).

masheroz

Well we took the scenic route, but still ended up in obviousville

raulfuerte

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