Here's the question: Find a power series representation for the function and determine the interval of convergence. f(x) = 1/(x + 10)
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Originally Posted by Undefdisfigure Here's the question: Find a power series representation for the function and determine the interval of convergence. f(x) = 1/(x + 10) we know that for now note: now continue
Thanks Jhevon but before I even saw your answer I found the right method in the book and solved the power series representation and found that the interval of convergence is (-10, 10).
Here's the question I REALLY should have asked. Its a little bit more challenging. Find a power series representation for the function and determine the interval of convergence. f(x) = x/(2x^2 + 1)
Originally Posted by Undefdisfigure Here's the question I REALLY should have asked. Its a little bit more challenging. Find a power series representation for the function and determine the interval of convergence. f(x) = x/(2x^2 + 1) well, and you know the power series for , so just find it's derivative and plug it in... EDIT: in retrospect, it is perhaps easier to think of this as x times the power series of 1/(1 + 2x^2) ...oh well
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