Math Solutions

(See Solution) Find a power series representation of f (x) about c = 0 (refer to example 6.6). Also, determine the radius and interval of convergence, and

Question: Find a power series representation of f ( x ) about c = 0 (refer to example 6.6). Also, determine the radius and interval of convergence, and graph f ( x ) together with the partial sums \(\sum\limits_{k=0}^{3}{{{a}_{k}}{{x}^{k}}}\) and \(\sum\limits_{k=0}^{6}{{{a}_{k}}{{x}^{k}}}\) .

\[f(x)=\frac{3}{x-1}\]

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