Find the Taylor series at 0. State the interval of convergence for the series.f"(x) for f(x) = sin xThe Taylor series at 0 for the sine and cosine functions are given below.sin x = x - x3 + x5 - ... + x2n + 1 + ...; -? < x < ?cos x = 1 - x2 + x4 - ...

Question

+ x2n  + ...; -? < x < ?



A. -x + x³ - x⁵ + ... +  x^{2n + 1} + ...; -? < x < ?
B. 1 - x² + x⁴ - ... + x²ⁿ  + ...; -? < x < ?
C. x - x³ + x⁵ - ... +  x^{2n + 1} + ...; -? < x < ?
D. -1 + x² - x⁴ + ... + x²ⁿ  + ...; -? < x < ?

Answer 1

Answer: A