- #1

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how can i find a power series representation for a function like f(x)= ln(1+7x)?

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- Thread starter sportlover36
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- #1

- 24

- 0

how can i find a power series representation for a function like f(x)= ln(1+7x)?

- #2

Mark44

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There are at least two ways. One is very mechanical and involves taking the derivatives of your fucntion. The other is probably a lot quicker. Can you find a power series for 7/(1 + 7x) = 1/(x + 1/7)? What's the connection between ln(1 + 7x) and 1/(x + 1/7)?how can i find a power series representation for a function like f(x)= ln(1+7x)?

- #3

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- #4

Mark44

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If you didn't understand that connection, how did you get the result that you got? BTW, I'm not sure that your result is right.

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