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+ f(n)(a)(x-a)n/ n!
So now we know the foundation by which mathematicians are able to design
calculators to evaluate functions like sine and cosine so that we do not have to
rely on a table of values like they did in days past. In addition to the
knowledge of how calculators approximate values of transcendental functions, we
can also see the applications of Taylor series in physics studies...
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These series
appear in mathematical descriptions of vibrating strings, heat flow,
transmission of electrical current, and motion of a simple pendulum.
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