Telescoping Series Example
Uploader Comments (patrickJMT)
Top Comments
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@themanso08 have fun! according to my estimate, there is somewhere between 120-150 hours worth of math content that i have made, so grab some popcorn before you sit down
All Comments (85)
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WOWOWOWOWOWOW THANK YOU SO MUCH!!! ^^
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All your videos are amazing. Thanks for helping everybody.
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YOU ARE AMAZING!I CANT THANK YOU ENOUGH!:DDD
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Patrick, but what if there was not infinity, but the real number? Then it will be the first term of the first pair MINUS the last term of the last pair, isn't it right? Also, you didn't mention that telescoping sun is only awailabe when the coefficients are the same and ODD, and also, most importantly, terms have to be consecutive. FOr example. x, and x+1, or x-2 and x-3, etc... Otherwise there's no telescoping sum.
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cool story bro
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@patrickJMT hahah literally man, sometimes i sit and see so many videos on the same subject that i have trouble choosing one to start!! Ur videos are great Im sure many math majors and engineers have been influenced by you. wouldnt doubt it if in the future some of my co-workers saw ur videos during their college career as well haha :D
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@billybob3121 I had just the same complaint. In some cases you are going to get multiple terms, depending on the function.
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Wouldn't the series simplify to 1 - 1/(n+1) ??? In this case it would still be equal to one but if your final n value was anything other than infinity wouldn't you get a different answer?
Is it possible for a telescoping series to diverge?
seaweedsupper 1 month ago
@seaweedsupper yes, i have an example of a partial sum diverging which shows this idea
patrickJMT 1 month ago
dude you just thought me something i have been confused about for weeks in just 4 min! thanks dude!
workish04 5 months ago 3
@workish04 glad i could help you out : )
patrickJMT 5 months ago
You're literally giving me my Aerospace Engineering degree...
Thanks man :)
timothyeah 5 months ago 11
@timothyeah i want my own rocket ship when you graduate.
patrickJMT 5 months ago 29