Use the power series for sin(x) to find a power series for sin(x2) and then use the power series for sin(x?) find the value of the definite integral with an error less than 0.001. Show and/or explain how you know that your answer has an error less than 0.001. 5. 1 sin x'dx

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Q: 6) Find a power series for tan(X)². Please show your steps.

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A: Given,fx=x2   , -1&lt;x&lt;1

Q: The formula provided in the question is a power series representation for g(x)= e-x^2

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Q: Substitute x 2 for x in the Maclaurin series for sin x.

A: To Substitute x2 for x in the Maclaurin series for sin x