Playground Test Page

Typeset mathematics contained inline (within) with the text of a paragraph needs to take less space than the same math typeset outside the paragraph text as standalone, display-style, material. To see this in practice, let’s explain that the equation $f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x}$ may diverge or converge depending on the value of $x$. We can also typeset $f(x)$ outside the paragraph in display style:

$$f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x}$$