if x < -6.349368961717618e-07

1. Started with
   \[\frac{e^{x} - 1}{x}\]
   0.1
2. Using strategy rm
   0.1
3. Applied flip3-- to get
   \[\frac{\color{red}{e^{x} - 1}}{x} \leadsto \frac{\color{blue}{\frac{{\left(e^{x}\right)}^{3} - {1}^{3}}{{\left(e^{x}\right)}^2 + \left({1}^2 + e^{x} \cdot 1\right)}}}{x}\]
   0.1
4. Applied simplify to get
   \[\frac{\frac{\color{red}{{\left(e^{x}\right)}^{3} - {1}^{3}}}{{\left(e^{x}\right)}^2 + \left({1}^2 + e^{x} \cdot 1\right)}}{x} \leadsto \frac{\frac{\color{blue}{{\left(e^{x}\right)}^3 - 1}}{{\left(e^{x}\right)}^2 + \left({1}^2 + e^{x} \cdot 1\right)}}{x}\]
   0.1
5. Applied simplify to get
   \[\frac{\frac{{\left(e^{x}\right)}^3 - 1}{\color{red}{{\left(e^{x}\right)}^2 + \left({1}^2 + e^{x} \cdot 1\right)}}}{x} \leadsto \frac{\frac{{\left(e^{x}\right)}^3 - 1}{\color{blue}{\left(e^{x} + 1\right) + e^{x} \cdot e^{x}}}}{x}\]
   0.1
6. Applied simplify to get
   \[\frac{\frac{{\left(e^{x}\right)}^3 - 1}{\left(e^{x} + 1\right) + \color{red}{e^{x} \cdot e^{x}}}}{x} \leadsto \frac{\frac{{\left(e^{x}\right)}^3 - 1}{\left(e^{x} + 1\right) + \color{blue}{e^{x + x}}}}{x}\]
   0.1

if -6.349368961717618e-07 < x

1. Started with
   \[\frac{e^{x} - 1}{x}\]
   60.7
2. Applied taylor to get
   \[\frac{e^{x} - 1}{x} \leadsto \frac{1}{6} \cdot {x}^2 + \left(1 + \frac{1}{2} \cdot x\right)\]
   0.1
3. Taylor expanded around 0 to get
   \[\color{red}{\frac{1}{6} \cdot {x}^2 + \left(1 + \frac{1}{2} \cdot x\right)} \leadsto \color{blue}{\frac{1}{6} \cdot {x}^2 + \left(1 + \frac{1}{2} \cdot x\right)}\]
   0.1