
The Maclaurin series for y = tan^{1}(x) is
. What is the fifthorder Maclaurin polynomial for y = tan^{1} (x)?

Graph y = tan^{1} (x) with a thick graphing style. In the same window graph the 5th, 9th, and 13thorder Maclaurin polynomials for this function. Estimate the interval of convergence for the series based on your graph.

Find the secondorder Taylor polynomial centered at 2 for y = e^{x}.

The second order Maclaurin polynomial for f(x) = e^{x} is
. Use this series to find the fourthorder Maclaurin polynomial for y = e^{x2} .

Graph y = e^{x2} with a thick graphing style together with the fourthorder Maclaurin polynomial for y = e^{x2}.
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