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McClaurin Series

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What is the best way to expand e^(Tan x) in a McClaurin Series for 5 terms without going blind? I tried it using brute force (taylor series) and decided there must be a simpler way known only to math majors.

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https://brainmass.com/math/basic-algebra/mcclaurin-series-expansion-267701

Solution Summary

McClaurin Series is the focal point for expansion.

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