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.