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Math 133 Taylor Series
users.math.msu.eduA Taylor series centered at a= 0 is specially named a Maclaurin series. Example: sine function. To nd Taylor series for a function f(x), we must de-termine f(n)(a). This is easiest for a function which satis es a simple di erential equation relating the derivatives to the original function. For example, f(x) = sin(x)