Question: Write down the Taylor series around zero, also called the MacLaurin series, for the following functions: et, eix, cos x, and sinx. Use these

Write down the Taylor series around zero, also called the MacLaurin series, for the following functions: et, eix, cos x, and sinx. Use these series to discover Euler's Formula, i.e., the relationship between et and cos x and sinx.

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