telescoping-looking series

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series of 1/(4n-1) - 1/(4n), you actually have to use integral,

  1. blackpenredpen
  2. not telescoping series
  3. math for fun
  4. blackpenredpen
  5. tricky math sum
  6. tricky infinite series
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Комментарии
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"this right here is equal to 3..."
Me : ah nice and clean answer
"3/4 ln(2) and then minus π/8"
Me : thx bprp

mohammadfahrurrozy
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Wow! Both the integral approach and your shirt are awesome!

VibingMath
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THIS, DUDE IS A LEGEND!!! HE IS AMAZING

parthsampat
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Like my 3b1b shirt?
I also bought his pi creature plushies!
:

blackpenredpen
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Very nice derivation! That dominant convergence theorem seems like a handy tool!

robsbackyardastrophotograp
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Awesome sir... Thanks for making my day.. I was getting super duper bore then I saw your video, gave it a try but couldn't, then I saw your way.. it's really damn cool .. It hooked me, charged me, now I am ready to do my work again.. again a big thanks and a big shout-out for you.. take care & keep doing Sir.

rohanbiswas
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The mathematics software called Sage can also do partial fraction decomposition if not interested in using Wolfram Alpha. It's such nice software overall.

TheRandomFool
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I tried to avoid partial fraction decomposition
Integral Int(-x^3/(1-x^4), x) can be easily calculated by substitution u = 1 - x^4
Integral Int(x^2/(1-x^4), x) can be calculated by substitution v = (1-x)/(1+x)

holyshit
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bro today is national mathematics day in india as honour of great mathematician srinivasa ramanujuan birthday

sanjaycosmos
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(creative + clever)!^(clarity + entertaining)!

claudiorebelo
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I got the book. I'm enjoying it a lot.

bradfordtaylor
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Shout-out to Michael Penn
He has a really cool channel

haraseessingh
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Same problem in our practice JEE ADVANCED exam

AKSHATAHUJA
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7:33 If you cannot do partial fractions and always use WolframAlpha, you are my friend.

hungryfareasternslav
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@blackpenredpen I dare you to solve this:
Find:
infinity
And,
infinity

photonicsauce
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This reminds me of another video you had where:
Divergent - Divergent = Convergent

budtastic
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Ah man, I have to put my telescope away? This surprised me a bit! I need to practice my S and S more.

chimetimepaprika
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Won't the geometric series at 5:00 diverge when x=1? Or can we just ignore that

replicaacliper
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The words w=3b1b and v=bprp are actually similar since if interpreted as functions [4]-->Sigma, we can choose a letter permutation pi in the symmetric group S_Sigma s.t. v = pi w.

lswcs
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Это как вообще, капец ты жёсткий! Люблю смотреть твои видео очень <3

waldersasytz