### Mathematical equations in Latex

\begin{equation}
% % sign is used to write comments in latex
% \\ sign is used to enter new line
x = y+z\\
f(x) = x^2\\
f(x) = x_1 + x_2 + x_3 + .......... + x_n\\
f(x) = \sum_{i=1}^{n}{x_i}\\
f(x) = \int_{i=1}^{n}{x_i}
\\
X=
\begin{cases}
5, \text{if x is divisible by 5}
\\
10, \text{if x is divisible by 10}
\\
-1, \text{otherwise}
\end{cases}
\\
x=
\frac{\substack{\sum_{i=1}^{n}{x_i}}}
{\substack{\sum_{i=20}^{50} {x_j}}}
\end{equation}



Let's begin with a formula $e^{i\pi}+1=0$ But we can also do

$$ e = \lim_{n\to\infty} \left(1+\frac{1}{n}\right)^n = 
    \lim_{n\to\infty}\frac{n}{\sqrt[n]{n!}}$$



```python

```


```python

```

efe2815e28d821cfb7bb2c7bcf279f5cbfb2f31c
ipynb
Jupyter Notebook
Math_latex.ipynb
barnwalp/jupyter_notebook
025fd532f6a334a64063e2f66fba6104cc4f48aa
MIT
2020-08-20T02:40:24.000Z
2020-08-20T02:40:24.000Z
Math_latex.ipynb
barnwalp/jupyter_notebook
025fd532f6a334a64063e2f66fba6104cc4f48aa
MIT
Math_latex.ipynb
barnwalp/jupyter_notebook
025fd532f6a334a64063e2f66fba6104cc4f48aa
MIT
Qwen/Qwen-72B
1. YES
2. YES