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Numerade Educator



Problem 12 Easy Difficulty

Find the Maclaurin series for $ f(x) $ using the definition of a Maclaurin series. [ Assume that $ f $ has a power series expansion. Do not show that $ R_n (x) \to 0. $] Also find the associated radius of convergence.

$ f(x) = \ln (1 + x) $


$f(x)=\sum_{n=1}^{\infty}(-1)^{n+1} \frac{x^{n}}{n}, \quad R=1$


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Video Transcript

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