Let's firstly have a look at the final display effect:

Formula 1

$$\lim _{x \rightarrow \infty} \frac{e^{\sin \frac{1}{x}}-1}{\left(1+\frac{1}{x}\right)^{\alpha}-\left(1+\frac{1}{x}\right)}=\lim _{x \rightarrow \infty} \frac{\sin \frac{1}{x}}{\left(1+\frac{1}{x}\right)^{\alpha-1}-1}$$

 

Formula 2

$$\frac{\underset{x\to \infty }{\mathop{\lim }}\,\frac{1}{\infty }}{\sqrt[3]{2x}}$$

 

Step 1: Download MathJax

MathJax download address: https://www.mathjax.org/

 

Step 2: Move MathJax to your server

Jakie saves MathJax to his website root, where Joomla! CMS is stored.

In order to boost the loading speed of pages, Jakie only imports MathJax on the pages where the mathematical formulas are needed. Insert this code line to your web pages and change the directory path to yours.

<script type="text/javascript" src="/mathjax/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script>

If you are interested in more tips for optimizing page speed, have a look on: How to minimize the loading time of your web pages?

 

Step 3: Make a formula with MathType

 

MathJax

Step 4: Translate the MathType formula into Latex expression with Microsoft Word.

 

Latex

Step 5: Copy the Latex express to your website article.

Formula 3

$$\frac{-b\pm \sqrt{{{b}^{2}}-4ac}}{2a}$$

 


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