x / x\ 2*x
100 e \-1 + e /*e
--- + ------------------- + ------------------
6 _______________ 3/2
x / 2 / 2\
/ / x\ | / x\ |
\/ 1 - \1 - e / \1 - \1 - e / /
$$\frac{e^{x}}{\sqrt{1 - \left(1 - e^{x}\right)^{2}}} + \frac{\left(e^{x} - 1\right) e^{2 x}}{\left(1 - \left(1 - e^{x}\right)^{2}\right)^{\frac{3}{2}}} + \frac{100}{x^{6}}$$
2
3*x x / x\ 3*x / x\ 2*x
600 e e 3*\-1 + e / *e 3*\-1 + e /*e
- --- + ------------------ + ------------------- + ------------------ + ------------------
7 3/2 _______________ 5/2 3/2
x / 2\ / 2 / 2\ / 2\
| / x\ | / / x\ | / x\ | | / x\ |
\1 - \1 - e / / \/ 1 - \1 - e / \1 - \1 - e / / \1 - \1 - e / /
$$\frac{e^{x}}{\sqrt{1 - \left(1 - e^{x}\right)^{2}}} + \frac{3 \left(e^{x} - 1\right) e^{2 x}}{\left(1 - \left(1 - e^{x}\right)^{2}\right)^{\frac{3}{2}}} + \frac{e^{3 x}}{\left(1 - \left(1 - e^{x}\right)^{2}\right)^{\frac{3}{2}}} + \frac{3 \left(e^{x} - 1\right)^{2} e^{3 x}}{\left(1 - \left(1 - e^{x}\right)^{2}\right)^{\frac{5}{2}}} - \frac{600}{x^{7}}$$