1. Find the Maclaurin series for xsin(x^2).
2. Use the 7th degree Maclaurin polynomial for xsin(x^2) to approximate the value of 0.1sin(0.01).
3. Differentiate the Maclaurin series for xsin(x^2) to determine the exact value of
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+∞ It is known that sina = Σ n=0 (-1)" (2n + 1)! χ 2n+1 for all x ЄR.
+∞ M n=0 (−1)¹(4n+3)π²n+1 (2n + 1)!
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