Find a power series representation for the function. (Center your power series representation at x = 0.) f(x) = 1 / (9 + x) f(x) = sum_{n=0}^{infinity} ( ) Determine the interval of convergence. (Enter your answer using interval notation.) Need Help? Read It Watch It Master It
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We can do this by factoring out a 9 from the denominator: \[f(x) = \frac{1}{9(1 + \frac{x}{9})} = \frac{1}{9} \cdot \frac{1}{1 - (-\frac{x}{9})}\] Show more…
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