Posts tagged taylor series
How to build Taylor polynomials

Taylor series let us find a series representation for any function. In order to create a Taylor series representation for a function, we’ll need ‘a’, the value about which the function is defined and ‘n’, the degree to which we want to evaluate the function. Both of these are usually given in the problem. With a value for ‘a’ and ‘n’, we can build the chart below.

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How to find the radius and interval of convergence of a Taylor series

Use the ratio test and check both endpoints. Work through the Taylor series for ln(2x) centered at 3, with radius 3 and interval (0, 6].

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