Which of the following functions would have only odd powers of x in its Taylor series expansion about the point x = 0?
- A. sin(x^3)
- B. sin(x^2)
- C. cos(x^3)
- D. cos(x^2)
Answer: A. sin(x^3)
Explanation: sin(x³) = x³ − x⁹/6 + … contains only odd powers; the others contain even powers.