Difference between revisions of "Taylor series of sine"
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| − | <strong>[[Taylor series of sine|Proposition]]:</strong> The following | + | <strong>[[Taylor series of sine|Proposition]]:</strong> The following [[Taylor series]] holds: |
| − | + | $$\sin(z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{(-1)^kz^{2k+1}}{(2k+1)!},$$ | |
| + | where $\sin$ denotes the [[sine]] function. | ||
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<strong>Proof:</strong> █ | <strong>Proof:</strong> █ | ||
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Revision as of 05:44, 8 February 2016
Proposition: The following Taylor series holds: $$\sin(z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{(-1)^kz^{2k+1}}{(2k+1)!},$$ where $\sin$ denotes the sine function.
Proof: █
