Hey guys, I have an important question to ask. Suppose you have a power series, for instance (x^n)/n+3, with n running from 0 to infinity, and you want to calculate the function S(x) (obviously, in [-1,1), where the convergence is uniform). What I do is to take out of the series 1/x^3, so that I can derive the series in order to get a geometrical series etc. etc. etc. My question is: do I find the derivative of the series or the derivative of 1/x^3 times the series? I think I should derive only the series, my friend says the opposite...

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Hey guys, I have an important question to ask. Suppose you have a power series, for instance (x^n)/n+3, with n running from 0 to infinity, and you want to calculate the function S(x) (obviously, in [-1,1), where the convergence is uniform). What I do is to take out of the series 1/x^3, so that I can derive the series in order to get a geometrical series etc. etc. etc. My question is: do I find the derivative of the series or the derivative of 1/x^3 times the series? I think I should derive only the series, my friend says the opposite...

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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