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again it's just so we have X cubed over
3 factorial so it's X minus X cubed over
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3 factorial so it's X minus X cubed over
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3 factorial so it's X minus X cubed over
3 factorial plus X to the fifth over 5
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3 factorial plus X to the fifth over 5
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3 factorial plus X to the fifth over 5
factorial
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factorial
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factorial
you guessed it
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you guessed it
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you guessed it
and so on that's the power series
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and so on that's the power series
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and so on that's the power series
expansion for the sine of X
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expansion for the sine of X
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expansion for the sine of X
okay and
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okay and
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okay and
so the signs alternate and these
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so the signs alternate and these
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so the signs alternate and these
denominators get very big don't they how
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denominators get very big don't they how
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denominators get very big don't they how
Exponential's grow very fast let me make
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Exponential's grow very fast let me make
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Exponential's grow very fast let me make
a remark R is infinity here the radius
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a remark R is infinity here the radius
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a remark R is infinity here the radius
of convergence of this power series
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of convergence of this power series
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of convergence of this power series
again is infinity and let me just say
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