Difference between revisions of "Taylor series of cosine"
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| − | <strong>[[Taylor series of cosine|Proposition]]:</strong> | + | <strong>[[Taylor series of cosine|Proposition]]:</strong> The following formula holds: |
| + | $$\cos(z)= \displaystyle\sum_{k=0}^{\infty} \dfrac{(-1)^k z^{2k}}{(2k)!},$$ | ||
| + | where $\cos$ denotes the [[cosine]] function. | ||
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<strong>Proof:</strong> █ | <strong>Proof:</strong> █ | ||
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Revision as of 05:43, 8 February 2016
Proposition: The following formula holds: $$\cos(z)= \displaystyle\sum_{k=0}^{\infty} \dfrac{(-1)^k z^{2k}}{(2k)!},$$ where $\cos$ denotes the cosine function.
Proof: █
