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 \(\sum\limits_{k=0}^{6}{{{a}_{k}}{{x}^{k}}}\).