Recent content by dejet

so is this right? 2^(n-1) f(x)=1+2x+4x^2/2!+8x^3/3!+...+2^(n-1)/(n!)...

e^2x= 1+2x+ \frac{2x^{2}}{2!} +\frac{2x^{3}}{3!} +\frac{2x^{4}}{4!}+... there is more to it i think.

Homework Statement using the Taylor Formula, find the series for the function f(x)=e^{2x}Homework Equations \sum \frac{f^{n}(a)}{n!} (x-a)^{n} any help as to where i start would be great. new to series...

o wait i think i need to compare i think i have it ill repost. thanks rootX seeing your answer made me see that we have yet to really learn that, so it can't be. thanks again. ill post with what i get to see if I am right.

Homework Statement i do not know where to start with this one can anyone point me where to go please? \int \frac{1}{x^{4}+1} lower limit = 0 upper = infinity Homework Equations like i said i don't know where to go with this one. i mean i know I am going to have to do...

Homework Statement lot of work to go around here so need to see if i did it right. thanks! \int e^2xsin3xdx Homework Equations \int uav=uv-\int vdu The Attempt at a Solution \int\frac{-e^{2x}}{3}cos3x+\frac{2}{3}\int(e^{2x})cos3xdx parts work: let u=e^2x, dv= sin3xdx so...