Limit calculate using Maclaurin series

I need help to calculate this limit using Maclaurin series: $\lim_{x\to \infty}((x^3-x^2+\frac{2}{x})e^{\frac{1}{x}}-\sqrt{x^3+x^6})$

I don't know from where to start. I think I need to to write Maclaurin series for $e^{\frac{1}{x}}$ and then use the remainder somehow... Thanks!

$$e^{\frac{1}{x}} = 1 + \frac{1}{x} + \frac{1}{2x^2} + \frac{1}{6x^3} + D_1$$