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Activity 8.5.5.
(a)
Use the Ratio Test to explicitly determine the interval of convergence of the Taylor series for
\(f(x) = \frac{1}{1-x}\) centered at
\(x=0\text{.}\)
(b)
Use the Ratio Test to explicitly determine the interval of convergence of the Taylor series for
\(f(x) = \cos(x)\) centered at
\(x=0\text{.}\)
(c)
Use the Ratio Test to explicitly determine the interval of convergence of the Taylor series for
\(f(x) = \sin(x)\) centered at
\(x=0\text{.}\)
