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In this video I show that we can solve for any given derivative of a function just by looking at its coefficients if it can be written as a convergent power series. The coefficients of a power series are given by the formula: (n-th derivative at a) / n!. In our question, we are asked to solve for the 3rd derivative of such a function. I show that we can solve it via the coefficients of a power series, and then confirm our result by solving for the derivatives directly. Thus, the answer to the question is True.
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