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well I have what a power series for the
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well I have what a power series for the
sine of X I just did it how about a
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sine of X I just did it how about a
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sine of X I just did it how about a
power series for X
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actually I did that here 2x the function
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actually I did that here 2x the function
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actually I did that here 2x the function
X is a very simple polynomial it's the
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X is a very simple polynomial it's the
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X is a very simple polynomial it's the
polynomial where that's 0 a 1 is 1 all
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polynomial where that's 0 a 1 is 1 all
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polynomial where that's 0 a 1 is 1 all
the other coefficients are 0 so X itself
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the other coefficients are 0 so X itself
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the other coefficients are 0 so X itself
is a power series very simple one and
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is a power series very simple one and
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is a power series very simple one and
the sine of X is a power series
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the sine of X is a power series
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the sine of X is a power series
and what I want to encourage you to do
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and what I want to encourage you to do
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and what I want to encourage you to do
is treat power series just like
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is treat power series just like
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is treat power series just like
polynomials and multiply them together
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polynomials and multiply them together
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polynomials and multiply them together
we'll see other operations too so to
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we'll see other operations too so to
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