Math  /  Calculus

Question7. [-/2 Points] DETAILS MY NOTES SCALCET9 11.9.02
A graphing calculator is recommended. Find a power series representation for ff. (Give your power series repre f(x)=ln(1+x1x)f(x)=n=0()\begin{array}{r} f(x)=\ln \left(\frac{1+x}{1-x}\right) \\ f(x)=\sum_{n=0}^{\infty}(\square) \end{array}
Graph ff and several partial sums sn(x)s_{n}(x) on the same screen.

Studdy Solution
The power series representation for f(x)=ln(1+x1x)f(x) = \ln\left(\frac{1+x}{1-x}\right) is: f(x)=2n=0x2n+12n+1.f(x) = 2\sum_{n=0}^{\infty} \frac{x^{2n+1}}{2n+1}.

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