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we'll see other operations too so to
compute the power series 4x times the
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compute the power series 4x times the
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compute the power series 4x times the
sine of X I just take this one and
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sine of X I just take this one and
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sine of X I just take this one and
multiply it by X
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multiply it by X
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multiply it by X
so let's see if I can do that right it
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so let's see if I can do that right it
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so let's see if I can do that right it
distributes through x squared minus X to
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distributes through x squared minus X to
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distributes through x squared minus X to
the fourth over 3 factorial plus X to
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the fourth over 3 factorial plus X to
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the fourth over 3 factorial plus X to
the sixth over 5 factorial
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and so on and again the radius of
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and so on and again the radius of
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and so on and again the radius of
convergence is going to be the smaller
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convergence is going to be the smaller
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convergence is going to be the smaller
of the two radii of convergence here so
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of the two radii of convergence here so
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of the two radii of convergence here so
it's R equals infinity in this case
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it's R equals infinity in this case
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it's R equals infinity in this case
okay you can multiply powers whose
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okay you can multiply powers whose
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okay you can multiply powers whose
together it can be a pain if the power
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