Determine the convergence or divergence of the series. State…

Determine the convergence or divergence of the series. State which test you are using, show its application, and clearly state whether the series converges or diverges. ∑n=1∞5nn!{“version”:”1.1″,”math”:”\sum_{n = 1}^{\infty}\,\frac{5^{n}}{n!}”}

Find the Maclaurin Series for the function. Write your answe…

Find the Maclaurin Series for the function. Write your answer using sigma (summation) notation. (a) f(x)=e5x{“version”:”1.1″,”math”:”\mbox{(a) } f(x) = e^{5x} \quad{} \hspace{0.9 em}”} (b) f(x)=sin⁡(2x){“version”:”1.1″,”math”:”\mbox{(b) } f(x) = \sin(2x)”}