It is known that sin x = (Series 1) for all x ∈ R. 1. Find the Maclaurin series for x sin (x2) 2. Use the 7th degree Maclaurin polynomial for x sin (x2) to approximate the value of 0.1 sin (0.01). 3. Differentiate the Maclaurin series for x sin (x2) to determine the exact value of (Series 2)

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A: We will find out the required value.

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A: Answer is in next step.

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Q: How do I solve this?

A: Introduction: Maclaurin series: A Taylor series that is expanded about the reference point zero and…

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A: We have to find ist four term

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