SOLUTION: 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 Rn(x) → 0.] f(x) = ln(1 + 2x)

SOLUTION: 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 Rn(x) → 0.] f(x) = ln(1 + 2x)

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Question 1185530: 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
Rn(x) → 0.]
f(x) = ln(1 + 2x)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

....
Inductively, , and so

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