Taylor Series Approximation to Cosine
If a function has a Taylor series that is convergent to the function, it is customary to expect that partial sums with more terms provide a better approximation than those with fewer terms. As the example of
As of 2018, Java plugins are not supported by any browsers (find out more). This Wolfram Demonstration, Taylor Polynomials, shows an item of the same or similar topic, but is different from the original Java applet, named 'RPolynomialTest'. The originally given instructions may no longer correspond precisely.
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For x large in absolute value, higher degree polynomials provide worse approximation than lower degree polynomials. For such x, the best approximation is given by the constant term
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