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9. a) Find a power series representation at c=0 for the function f(x) = sin(x]). b) Integrating series from part a) (or using a method

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9. a) Find a power series representation at c=0 for the function f(x) = sin(x]). b) Integrating series from part a) (or using a method of your choice) find the power series representation at c=0 for: g(x) = sin(x' ) dx . c) Use the result in b) to estimate g(x) = [sin(x3)dx with an error below 0.001

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