# 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 *y = cos(x)*

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 *y = *1.

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