Representing a Function as a Geometric Power Series - Part 1

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This video shows how to represent a function as a geometric power series.

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I had no idea how to approach these problems before watching this and this was the perfect walkthrough on how to do these. You deserve more subs man keep up the good work!

yashchatha
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Absolutely phenomenal video, I can't find many others like this with such great walk throughs, so thank you!

Smyers
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Yes, thank you for noticing. I annotated the correction.

Mathispoweru
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It is centered at c = 1, so we replace x with x - c or in this case x - 1

Mathispoweru
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thank you so much for the graph representations, really put things into perspective

kettle
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Great video. Helped me a lot. Got an exam for this tomorrow! Thank you!

rmor
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best video on this topic. Thank you! test tomorrow

nosmeredithnhoj
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at 8:12, is (x-1) supposed to be (x-1)^n ?

lockrunner
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Around 6:05, you say that the the series is centered at x = 1. How does one determine where the series is centered?

ElvinJones
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Your a gifted teacher. keep it up, and thanx for the helpful vids.

blkteg
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aren't you supposed to plug in the point to see if they are included in the intervals?

rafaelgt
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I am confused as to why you substituted in (x-1) for x at around 6:23.

TheGoogleMachine
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How did he know right away that it was centered at x = 1?

calcubite
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you need to be more clear at around 6:25 as to what you are doing with 2. You do not explain this well.

jonathanyoe