We use the Taylor formula to get the power series, but why it is that way?

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#calculus #bprpcalculus #apcalculus #tutorial #math
  1. bprp calculus basics
  2. taylor formula
  3. taylor's formula
  4. taylor theorem
  5. taylor's theorem
  6. coefficients of a power series
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Комментарии
Автор

Can you do a video on the Taylor Remainder Theorem too? This was so helpful!

aasavshah
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Great teaching.... Learned a new way to observe Taylor Series ❤️
Taylor must be so proud 👍

Sourja
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I was wondering what all of this was leading up to. I was surprised with the clearest explanation on how the coefficients pf the Taylor series can be obtained. Thanks for everything. I love your work!

m.caeben
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I like the Maclaurin series because they are Taylor series with a = 0. However, sometimes you need to do a Taylor series (example: f(x) = ln(x) ).

bullinmd
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I love your video I learnt more from you then my teacher

aweebthatlovesmath
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i found the radius of convergence to be infinity; and by the cauchy-hadamard formula R = 1 / L which means that L = 1 / R = = > L = 0 ?

michaelempeigne
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I don’t understand something
0*(infinity) = indeterminate
So, what is going on?

leonardobarrera
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Shouldn't the radius of convergence be the reciprocal of what you wrote?

historybuff