24. Let f be a function such that f'(x) = sin(x^2) and f(0) = 0. What are the first three nonzero terms of the Maclaurin series for f ? (A) x - x^5/10 + x^9/216 (B) 2x - x^5 + x^9/12 (C) x^3/3 - x^7/21 + x^11/55 (D) x^3/3 - x^7/42 + x^11/1320
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The Maclaurin series for \( \sin(2x) \) is: \[ \sin(2x) = 2x - \frac{(2x)^3}{3!} + \frac{(2x)^5}{5!} - \cdots \] Show more…
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