Laurent Series Example 1

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In this video we look at how to find a power series expansion for a complex function in an annulus. It requires finding both a Taylor series and a Laurent series for the two singularities.
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It's perfectly clear where everything comes from and one can always just skip past the partial fractions if one wants. I think the example video was very well done and I think most people (should) understand that this is not in any way a lecture on laurent/taylor series but just a (nicely) worked out example. Thank you!

kiwanoish
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I was troubled with the problem and I have an important exam . SO HELPFUL THANK YOU!

NiloofarKazemi
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Dude, this was a great video, dont acknowledge that 1/8 factor guy. Not only was this a good starting example but it was very straightforward and crystal clear

souptimeisinanhour
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Not only did this video explain exactly what I needed it to, but you sound exactly like a friend of mine which made it hilarious!

afrochicken
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The difference in art of manipulating alzebra of Z for Laurent and Taylor series  was easily observed .This video accelerated my pace of study about Laurent series. Thanku dgory.

tilak
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This has saved my life, thank you for a detailed explanation of each little step!

caracraig-mccourt
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I love you. After hours of reading through my book, I finally understand. Thank you so much.

JoeJoeTheManHoe
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How do u determine which one should be a laurent series and which one should be a taylor series?

rifatulhaque
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Best video I’ve found on Laurent series by far!

baileyharrison
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I as struggling so much w/ this material and now, finally its clear thanks to you! thank you so much

Account-ficu
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I love you man! I thought I would never understand this subject !

TheGolatho
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Nice and clear explanation.  Thank you very much.

denisjohnson
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Cheerio aussie brother. Very lucid explanations, excellent work :)

alvinlepik
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This video clarifies to me some misunderstanding concepts ! Thank ..

AbdulRahmanMarchud
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Thank you! After two long weeks I finally understood it! Thanks!

diablica
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thank you...i totally never understood my lecturer.... but i have understood your explanation

emmanuelodanga
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thanks so much! i have a midterm coming and ur vid helped a lot!! :)

Mieraz
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wow its actually THAT easy!? Thank you :))!

notgoodatmathmmm
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Thanks, this is the one part of my upcoming exam I'm having trouble with.

myahmyah
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Thank you so much for your help. It is much appreciated :)

MariaaTKD