taylor polynomials 2
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(a) Use the binomial series to find the Taylor series about 0 for the function
f(x) = (5 + x)^-3;
giving all terms up to the one in x^3, and calculating each coefficient as
an integer or a fraction.
(b) State the largest interval of validity for this series.
(c) Use this series and the Taylor series about 0 for cos x to find the cubic Taylor polynomial about 0 for the function
f(x) =(cos x)/(5 + x)^3
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