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# Find the Maclaurin series for the given function f(x) = e-6x ...

#20
Transcribed: Find the Maclaurin series for the given function f(x) = e-6x

The maclaurin series is:

so,$f\left(x\right)=1-6x+\frac{36}{2!}{x}^{2}-\frac{216}{3!}{x}^{3}+\frac{1296}{4!}{x}^{4}+....$

The maclaurin series of $\mathrm{f}\left(\mathrm{x}\right)={\mathrm{e}}^{-6\mathrm{x}}$ is:

$f\left(x\right)=1-6x+\frac{36}{2!}{x}^{2}-\frac{216}{3!}{x}^{3}+\frac{1296}{4!}{x}^{4}+....$

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