AP Calculus BC: 10.15 Representing Functions as  Power Series – Exam Style questions with Answer- FRQ

Question

(A) Express the function \(\frac{\sin x}{x}\) as a power series.
(B) Evaluate the indefinite integral \(\int \frac{\sin x}{x}dx\)  as an infinite series.
(C) Approximate the definite integral \(\int_{0}^{1} \frac{\sin x}{x}dx\) to within an accuracy of three decimal places.

Answer/Explanation

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