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Answer the question a. Write the Taylor Series for f (x ) = sin (x2 ) centered at x=0. b. State which test of convergence

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Answer the question

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a. Write the Taylor Series for f (x ) = sin (x2 ) centered at x=0. b. State which test of convergence you will use to find the interval of convergence of this series. c. Write the 10th-degree polynomial of the Taylor Series. d. Use your answer to "c" to accurately approximate the definite integral " sin (x ) da

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