Required Taylor Polynomials (copy)

taylor

$$\sin(x)$$

$$x - \frac{x^{3}}{3!} + \frac{x^{5}}{5!} - \frac{x^{7}}{7!} + …$$

$$\cos(x)$$

$$1 - \frac{x^{2}}{2!} + \frac{x^{4}}{4!} - \frac{x^{6}}{6!} + …$$

$$\sinh(x)$$

$$x + \frac{x^{3}}{3!} + \frac{x^{5}}{5!} + \frac{x^{7}}{7!} + …$$

$$\cosh(x)$$

$$1 + \frac{x^{2}}{2!} + \frac{x^{4}}{4!} + \frac{x^{6}}{6!} + …$$

$$e^{x}$$

$$1 + x + \frac{x^{2}}{2!} + \frac{x^{3}}{3!} + …$$

$$\ln(1 + x)$$

$$\tan^{-1}(x)$$

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