Question

Determine the Maclaurin Series of ln (4-x^2)

Answer 1

take a few derivatives and see if you see a reoccuring pattern first.

Answer 2

\[f(x) = \Sigma \frac{ f^{n}(a) }{ n! }x^n \]

Answer 3

First, think of the function g(x) = ln(4+x^2). Differentiate it and you get g'(x). The reason I did this is because we know what the Taylor series about x=0 is for g'(x). Try it.