Use \displaystyle in the beginning for bigger expressions.
Normal: $\sum\frac{n^5}{2^n}$
Using \displaystyle: $\displaystyle\sum\frac{n^5}{2^n}$
6Thanks
This is a discussion on LaTeX tip: displaystyle within the LaTeX Help forums, part of the MHB Help and Feedback category; Use \displaystyle in the beginning for bigger expressions. Normal: $\sum\frac{n^5}{2^n}$ Using \displaystyle: $\displaystyle\sum\frac{n^5}{2^n}$...
Use \displaystyle in the beginning for bigger expressions.
Normal: $\sum\frac{n^5}{2^n}$
Using \displaystyle: $\displaystyle\sum\frac{n^5}{2^n}$
"Now I will have less distraction." -- Leonhard Euler upon losing the use of his right eye

The thing is that single dollar sign delimiters $\displaystyle \frac{x}{y}$ are for in-line maths-notation, making it larger means that the maths will foul the text in following lines.
Or make the line spacing irregular, though you have too keep typing for a long time to get test wrapping to test this

More uses for \displaystyle . . .
\lim{x\to3}\frac{x^2-9}{x-3} . . . . . . . . . . . . . $\lim_{x\to3}\frac{x^2-9}{x-3}$
\displaystyle \lim_{x\to3}\frac{x^2-9}{x-3} . . . $\displaystyle \lim_{x\to3}\frac{x^2-9}{x-3} $
sum^{\infty}_{n=1}\frac{1}{n^2} . . . . . . . . . . . . . $\sum^{\infty}_{n=1} \frac{1}{n^2}$
\displaystyle \sum^{\infty}_{n=1}\frac{1}{n^2} . . . $\displaystyle \sum^{\infty}_{n=1}\frac{1}{n^2}$
\int^3_1 x^2\,dx . . . . . . . . . . . . $\int^3_1 x^2\,dx $
\displaystyle \int^3_1 x^2\,dx . . . $\displaystyle \int^3_1 x^2\,dx$
If \displaystyle makes a fraction too large:
. . \displaystyle \frac{x-3}{x+4} + \frac{1}{2}x^3 . . . . $\displaystyle \frac{x-3}{x+4} +\frac{1}{2}x^3$
it can be reduced with \tfrac:
. . \displaystyle \frac{x-3}{x+4} + \tfrac{1}{2}x^3 . . . $\displaystyle \frac{x-3}{x+4} + \tfrac{1}{2}x^3$

If you want to displaystyle fractions, it's easier to use the \dfrac{}{} command.
\frac{x+1}{x-1} yields $\frac{x+1}{x-1}$, but \dfrac{x+1}{x-1} yields $\dfrac{x+1}{x-1}$
So in the example you provided, we could say \dfrac{x-3}{x+4} +\frac{1}{2}x^3, which would give $\dfrac{x-3}{x+4}+\frac{1}{2}x^3$ (thus, \tfrac{}{} can be avoided in the inline case). I would say that the \tfrac{}{} option is most useful in scenarios when the rendered code is centered by $$ or \[ (the cases where the equations are automatically displaystyled).
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Hello, Chris L T521!
I did know all that . . . and didn't get around to explain it,
. . but thanks for clarifying it.
I intended the \tfrac feature to be used when \displaystyle must be used.
$\displaystyle \text{Here's an example: }\:\int^5_3\frac{x^2-4}{x-2}\,dx$
To produce the large integral sign, I used \displaystyle.
. . It also produced the large fraction.
. . $\displaystyle \int^5_3\frac{(x-2)(x+2)}{x-2}\,dx \;=\;\int^5_3(x+2)\,dx \;=\;\frac{1}{2}x^2 + 2x\,\bigg]^5_3 $
To me, the $\dfrac{1}{2}$ seems awkwardly large (but maybe that's just me).
. . I would use \tfrac here.
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