do a research on the taylor series for the sine function



Answer to a math question do a research on the taylor series for the sine function

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La serie de Taylor de la función seno se puede expresar de la siguiente forma:

\sin(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \ldots = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!} x^{2n+1}

Donde el término general de la serie es $\frac{(-1)^n}{(2n+1)!} x^{2n+1}$.

**Respuesta:** La serie de Taylor para la función seno es:

\sin(x) = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!} x^{2n+1}

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