The Maclaurin series for is

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The Maclaurin series for sin⁡x\sin x is ∑k=0∞(−1)kx2k+1(2k+1)!\displaystyle \sum_{k=0}^{\infty}(-1)^k\dfrac{x^{2k+1}}{(2k+1)!}. Write the Maclaurin series for cos⁡x\cos x and list its first four nonzero terms.

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