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 - ...

x2n  + ...; -? < x < ?



A. -x + x3 - x5 + ... +  x2n + 1 + ...; -? < x < ?
B. 1 - x2 + x4 - ... + x2n  + ...; -? < x < ?
C. x - x3 + x5 - ... +  x2n + 1 + ...; -? < x < ?
D. -1 + x2 - x4 + ... + x2n  + ...; -? < x < ?


Answer: A

Mathematics

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