# 15.3. Analyzing real-valued functions


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


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


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


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


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


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


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


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


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


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

b49546fb88f6fedd31bb74d025daf8d036fedfae
ipynb
Jupyter Notebook
001-Jupyter/001-Tutorials/002-IPython-Cookbook/chapter15_symbolic/03_function.ipynb
jhgoebbert/jupyter-jsc-notebooks
bcd08ced04db00e7a66473b146f8f31f2e657539
BSD-3-Clause
001-Jupyter/001-Tutorials/002-IPython-Cookbook/chapter15_symbolic/03_function.ipynb
jhgoebbert/jupyter-jsc-notebooks
bcd08ced04db00e7a66473b146f8f31f2e657539
BSD-3-Clause
001-Jupyter/001-Tutorials/002-IPython-Cookbook/chapter15_symbolic/03_function.ipynb
jhgoebbert/jupyter-jsc-notebooks
bcd08ced04db00e7a66473b146f8f31f2e657539
BSD-3-Clause
2022-01-13T18:49:12.000Z
2022-01-13T18:49:12.000Z
Qwen/Qwen-72B
1. YES
2. YES