Taylor Series Expansions and ApproximationsThe Taylor series is mainly used for approximating functions when one can identify a small parameter. Expansion techniques are useful for many applications in .http://www.haverford.edu/physics/MathAppendices/Taylor_Series.pdf

Commonly Used Taylor Series

Commonly Used Taylor Series series when is valid/true. 1. 1 ? x. = 1 + x + x2 + . note y = cos x is an even function . Taylor/Maclaurin Polynomials and Series.
http://www.math.sc.edu/~girardi/m142/handouts/10sTaylorPolySeries.pdf

• TAYLOR AND MACLAURIN SERIES. Definition. If f has a power ...

|x ? a|n+1 for |x ? a| < R. (1). Example 1. Find the Maclaurin series for the function f(x) = sin2(x). Solution. Note that sin2(x) = 1. 2. (1 ? cos(2x)). Hence sin2(x) = 1.
http://orion.math.iastate.edu/vika/cal3_files/Lec27.pdf

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