Answered: Compare the answer of the expansion of…

Compare the answer of the expansion of the binomial expression (1 + x)-3 = 1-3x + 6x2 -10x3 with the first four terms of a Maclaurin series for f(x) = ex ( i.e. 1+ x + x2/2 + x3/6 ).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 50E

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Question

Compare the answer of the expansion of the binomial expression (1 + x)^-3= 1-3x + 6x²-10x³ with the first four terms of a Maclaurin series for f(x) = e^x ( i.e. 1+ x + x²/2 + x³/6 ).

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