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Given the Fact That the Taylor Series About X = ex=1+x1!+x22!+x33!+e^{x}=1+\frac{x}{1 !}+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\cdots

Question 57

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Given the fact that the Taylor series about x = 0 for ex=1+x1!+x22!+x33!+e^{x}=1+\frac{x}{1 !}+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\cdots , is the Taylor series about x = 0 for ex/4=1+x4+x232+x3384+e^{x / 4}=1+\frac{x}{4}+\frac{x^{2}}{32}+\frac{x^{3}}{384}+\cdots ?

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