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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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1.2 Taylor Series Write down the Taylor series around zero, also called the MacLaurin series, for the following functions: et, ei, cos x, and sinx. Use these series to discover Euler's Formula, i.e., the relationship between eix and cos x and sinx.
Transcribed Image Text:1.2 Taylor Series Write down the Taylor series around zero, also called the MacLaurin series, for the following functions: et, ei, cos x, and sinx. Use these series to discover Euler's Formula, i.e., the relationship between eix and cos x and sinx.
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