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Mathematics 16 Online
OpenStudy (anonymous):

Power series integrate x^2/x+4

OpenStudy (amistre64):

not to sure how power series relates to integrate x^2/x+4 ....

OpenStudy (amistre64):

do you mean construct a power series that is equivalent to it?

OpenStudy (anonymous):

yeah i wrote integrate by mistake

OpenStudy (anonymous):

it has something to do with x^n being 1/1-x

OpenStudy (anonymous):

or something along those lines

OpenStudy (amistre64):

the derivatives will represent the constants of the power series; so that will be one step i have in mind

OpenStudy (amistre64):

\[P(x)=\sum_{n=0}^{inf}\frac{f^{(n)}(c)}{n!}(x-c)^n\]

OpenStudy (amistre64):

x^n only sums up to 1/(1-x) if x is less than 1

OpenStudy (amistre64):

with any luck the f^n parts form a pattern that can be simplified into the summation

OpenStudy (amistre64):

f^n parts reads soo dirty :)

OpenStudy (agent0smith):

f^n + 1/f^n = 69?

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