[Tex/LaTex] Subscript, Superscript, and Bracket

bracketssubscriptssuperscripts

I want to write like this:
enter image description here

But when I write

\documentclass{article} \usepackage{mathtools} \begin{document}
\begin{equation}
\lim\limits_{\Delta\rightarrow0}\Delta{}_{t=0}^{t=T}\left\vert\dfrac{df(t)}{dt}\right\vert^2
dt \end{equation} \end{document}

The output was like this
enter image description here

Anyone can tell me what is my mistake?

Best Answer

The _{t=0}^{t=T} in your line makes these things the superscript and subscript of the \lim\limits_{\Delta\rightarrow0}{}. I would do it using \prescript from mathtools package.

\usepackage{mathtools}

and then in the math environment:

\lim\limits_{\Delta\rightarrow0}{} \Delta\prescript{t=T}{t=0}{\left\vert\dfrac{df(t)}{dt}\right\vert^2 dt}

This provides the result as follows:enter image description here