Taylor Series
This video provides an explanation and demonstrates how to use Taylor series approximations.
It explains that a Taylor series is a nth degree polynomial expansion about a region x=a of an infinitely differentiable function where the larger the value of n, the better the approximation.
The video takes the viewer through a step by step explanation of the process required to generate a nth degree Taylor Series polynomial expansion of a function.
Two examples of the Taylor Series process are provided. A second degree Taylor series polynomial expansion of y=e^^2x at x=1 and a second degree Taylor series expansion of ln x at x=2.
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