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