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so I'm saying that inside of this radius |
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so I'm saying that inside of this radius |
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so I'm saying that inside of this radius |
of convergence the function that we're |
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of convergence the function that we're |
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of convergence the function that we're |
looking at this f of X can be written as |
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looking at this f of X can be written as |
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looking at this f of X can be written as |
the value of the function at zero that's |
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the value of the function at zero that's |
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the value of the function at zero that's |
a sub zero plus |
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a sub zero plus |
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a sub zero plus |
the derivative the value of the |
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the derivative the value of the |
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the derivative the value of the |
derivative this bracket n means you take |
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derivative this bracket n means you take |
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derivative this bracket n means you take |
the derivative end times so when n is 1 |
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the derivative end times so when n is 1 |
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the derivative end times so when n is 1 |
you take the derivative once at 0 |
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you take the derivative once at 0 |
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you take the derivative once at 0 |
divided by 1 factorial which is 1 and |
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divided by 1 factorial which is 1 and |
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divided by 1 factorial which is 1 and |
multiply it by X that's the linear term |
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multiply it by X that's the linear term |
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multiply it by X that's the linear term |
in the power series and then the |
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in the power series and then the |
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in the power series and then the |
quadratic term is you take the second |
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