# Analyzing real-valued functions


```
from sympy import *
init_printing()
```


```
var('x z')
```


```
f = 1 / (1 + x**2)
```


```
f.subs(x, 1)
```


```
diff(f, x)
```


```
limit(f, x, oo)
```


```
series(f, x0=0, n=9)
```


```
integrate(f, (x, -oo, oo))
```


```
integrate(f, x)
```


```
fourier_transform(f, x, z)
```

a184a0e8b1b2e145f7ab04e8dfe637f05138d1c9
ipynb
Jupyter Notebook
Chapter15/03_function.ipynb
PacktPublishing/IPython-Interactive-Computing-and-Visualization-Cookbook-Second-Edition
7c41466113641abf7070f7bd14cc687c19c9c1ea
MIT
2018-03-06T19:38:30.000Z
2022-02-25T06:54:38.000Z
Chapter15/03_function.ipynb
PacktPublishing/IPython-Interactive-Computing-and-Visualization-Cookbook-Second-Edition
7c41466113641abf7070f7bd14cc687c19c9c1ea
MIT
Chapter15/03_function.ipynb
PacktPublishing/IPython-Interactive-Computing-and-Visualization-Cookbook-Second-Edition
7c41466113641abf7070f7bd14cc687c19c9c1ea
MIT
2018-02-19T16:11:16.000Z
2022-02-25T06:54:40.000Z
Qwen/Qwen-72B
1. YES
2. YES