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tangents they all have a power series |
expansions okay we'll see more examples |
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let's do another example here's another |
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let's do another example here's another |
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let's do another example here's another |
example I |
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example I |
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example I |
guess this was example one |
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so this example I think was due to |
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so this example I think was due to |
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so this example I think was due to |
Newton not Euler |
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Newton not Euler |
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Newton not Euler |
let's find the power series expansion of |
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let's find the power series expansion of |
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let's find the power series expansion of |
this function 1 over 1 plus X well I |
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this function 1 over 1 plus X well I |
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this function 1 over 1 plus X well I |
think that |
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think that |
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think that |
somewhere along the line you learned |
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somewhere along the line you learned |
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somewhere along the line you learned |
about the geometric series which tells |
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about the geometric series which tells |
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about the geometric series which tells |
you that which tells you what the answer |
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you that which tells you what the answer |
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you that which tells you what the answer |
to this is and I'll just write it out |
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