Limits in LaTeX - Quick Answerz

How to write Derivative in $LATEX$

The following table will guide you of writing Derivatiive in different styles in $LATEX$

Definition	$LATEX$ Code	Output
Limit at plus infinity	$\lim_{x \to +\infty} f(x)$	$$\underset{x\to +\mathrm{\infty }}{lim}f(x)$$
Limit at minus infinity	$\lim_{x \to -\infty} f(x)$	$$\underset{x\to -\mathrm{\infty }}{lim}f(x)$$
Limit at $\alpha$	$\lim_{x \to \alpha} f(x)$	$$\underset{x\to \alpha }{lim}f(x)$$
Infimum	$\inf_{x > s}f(x)$	$$\underset{x>s}{inf}f(x)$$
Supremum	$\sup_{x \in \mathbb{R}}f(x)$	$$\underset{x\in \mathbb{R}}{sup}f(x)$$
Maximum	$\max_{x \in \[a,b\]}f(x)$	$$\underset{x\in [a,b]}{max}f(x)$$
Minimum	$\min_{x \in \[\alpha,\beta\]}f(x)$	$$\underset{x\in [\alpha ,\beta ]}{min}f(x)$$

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