That comparison to the r value in a geometric series just made it click for me! I've been looking for an explanation of why this works and now I get it, thank you!
Your lectures left me clear that my english-listening level sucks, but fortunately mathematics is a universal language. Your way to explain things like these are unique. Thank you so much!
Just wanted to say I found your videos looking up stats/discrete math videos. Wanted to say thanks for all the uploads! you deserve so many more viewers. Keep making awesome videos man! you're a CS majors dream!
I think 1 is inconclusive because there may be a horizontal asympote whose has height(y value) is not zero. I concluded that because if r value is 1 then there is no change in successive values of the serie then it will look like a horizontal asymptote. example: sigma sum from 1 to infinity ((1/x^2)+(1))
That means that as you go to infinity, you end up getting closer to multiplying by 1 every single term, this could mean convergence or divergence since we have no other info
That comparison to the r value in a geometric series just made it click for me! I've been looking for an explanation of why this works and now I get it, thank you!
Agreed!
me too
Your lectures left me clear that my english-listening level sucks, but fortunately mathematics is a universal language. Your way to explain things like these are unique. Thank you so much!
Me when I'm watching and indian video and the only thing I know is that they are trying to solve the same problem as me:
For peeps who only want to watch the Root Test part, 6:40 - Root Test
Wow! Thank you for the best explanation that cleared up everything that I was having troubles with.
Glad it helped!
Bc of coronavirus my two hour lecture has been replaced w this 9 minute video. Good explanation tho
Thank you very much! Very helpful. I like the connection to the geometric series! It clicked with me!
Just wanted to say I found your videos looking up stats/discrete math videos. Wanted to say thanks for all the uploads! you deserve so many more viewers. Keep making awesome videos man! you're a CS majors dream!
Very Well Explained 👍 with full enthusiasm ❤
this channel is a gem. thank you so much !
Great ! Thank you very much. perfect analogy to bring about the intuitive feel
I think 1 is inconclusive because there may be a horizontal asympote whose has height(y value) is not zero. I concluded that because if r value is 1 then there is no change in successive values of the serie then it will look like a horizontal asymptote. example: sigma sum from 1 to infinity ((1/x^2)+(1))
In the other words it will behave like as if there is a infinitely long rectangle.
You’re a great teacher!
Great video thank you
I never saw this analogy. Cool video
amazing teaching skills ...... lucky to have you : )
2:32 sir why is the third case inconclusive?Doesn't that imply that it is similar to geometric ratio with r=1,then it is too divergent?Please help
That means that as you go to infinity, you end up getting closer to multiplying by 1 every single term, this could mean convergence or divergence since we have no other info
Very nice video
Thank you for the explanation. Can you please show how sum(1/n) diverges? I think it should converge to 0
You add them all up, the sequence goes to zero but if you add them all up it divereges
But doesnt the series converge for r=1?? for the explanation at 0.42
r=1 makes the series like a+a+a+a+… so it diverges
Important note: the root test should have an absolute value inside the nth root!
Great intuitive explanation, relating these tests to the geometric series. Where did you get it from? Or did you come up with it yourself?
@@DrTrefor Ha, alright then. Well it aint in my textbook
bravo🙌🙌
Sir I want the explanation of "the root test is more powerful than the
ratio test."
Broo, the subtitles LMAOO
sir you forgot to put absolute value for the root test
i love you
7.49 :)))))
the explanation of factorial algebra couldve been simpler
Please go faster my teacher rich to chapter 11😥
amogus
Literally every woman: (blah)^n