if i < 36050.53017192879

1. Started with
   \[\frac{\frac{\left(i \cdot i\right) \cdot \left(i \cdot i\right)}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right)}}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0}\]
   45.4
2. Applied simplify to get
   \[\color{red}{\frac{\frac{\left(i \cdot i\right) \cdot \left(i \cdot i\right)}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right)}}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0}} \leadsto \color{blue}{\frac{{\left(\frac{i}{2}\right)}^2}{\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0}}\]
   1.0
3. Applied taylor to get
   \[\frac{{\left(\frac{i}{2}\right)}^2}{\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0} \leadsto -\left(0.25 \cdot {i}^2 + \left(1.0 \cdot {i}^{4} + 4.0 \cdot {i}^{6}\right)\right)\]
   0.0
4. Taylor expanded around 0 to get
   \[\color{red}{-\left(0.25 \cdot {i}^2 + \left(1.0 \cdot {i}^{4} + 4.0 \cdot {i}^{6}\right)\right)} \leadsto \color{blue}{-\left(0.25 \cdot {i}^2 + \left(1.0 \cdot {i}^{4} + 4.0 \cdot {i}^{6}\right)\right)}\]
   0.0

if 36050.53017192879 < i

1. Started with
   \[\frac{\frac{\left(i \cdot i\right) \cdot \left(i \cdot i\right)}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right)}}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0}\]
   47.3
2. Applied simplify to get
   \[\color{red}{\frac{\frac{\left(i \cdot i\right) \cdot \left(i \cdot i\right)}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right)}}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0}} \leadsto \color{blue}{\frac{{\left(\frac{i}{2}\right)}^2}{\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0}}\]
   31.7
3. Applied taylor to get
   \[\frac{{\left(\frac{i}{2}\right)}^2}{\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0} \leadsto 0.015625 \cdot \frac{1}{{i}^2} + \left(\frac{1}{16} + 0.00390625 \cdot \frac{1}{{i}^{4}}\right)\]
   0
4. Taylor expanded around inf to get
   \[\color{red}{0.015625 \cdot \frac{1}{{i}^2} + \left(\frac{1}{16} + 0.00390625 \cdot \frac{1}{{i}^{4}}\right)} \leadsto \color{blue}{0.015625 \cdot \frac{1}{{i}^2} + \left(\frac{1}{16} + 0.00390625 \cdot \frac{1}{{i}^{4}}\right)}\]
   0
5. Applied simplify to get
   \[\color{red}{0.015625 \cdot \frac{1}{{i}^2} + \left(\frac{1}{16} + 0.00390625 \cdot \frac{1}{{i}^{4}}\right)} \leadsto \color{blue}{\frac{0.00390625}{{i}^{4}} + (\left(\frac{0.015625}{i}\right) * \left(\frac{1}{i}\right) + \frac{1}{16})_*}\]
   0