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# 0.0 Special Symbols


piece-wise function:

$$|x| = \begin{cases} -x & \text{if } x < 0 \\ x & \text{if } x \geq 0 \end{cases}$$

$$\aleph$$

$$\aleph_0$$  $$\aleph_1$$

$$\altneg$$

$$\mathfrak{P}$$

$$\mathscr{P}$$

$$\bold{this}$$

~

$$\~$$

$$k \cdot 5$$

$$p \Leftrightarrow q$$

±

$$\displaystyle \lim_{x→−2}(3x^3−2x+7)$$.

$\lim_{x→3}\frac{2x^2−3x+1}{5x+4}=\frac{10}{19}. \nonumber$

x→±∞

$$f(x)=\sqrt{x−3}$$.

$$\frac{1}{4}$$

$$\dfrac{1}{4}\text{ dfrac makes a bigger "display" fraction & text can insert text including a space & not italic}$$

$\lim_{θ→0}\dfrac{1−\cos θ}{θ}=0 \nonumber$

## $$M≠0$$

$$M \neq 0$$

$$y \in \mathbb{R}$$

$$\mathbb{Q}$$

$$-1\notin\mathbb{Z}^+$$

$\exists x \, p(x),$

$\forall x \, p(x),$

### Contributors

• Gilbert Strang (MIT) and Edwin “Jed” Herman (Harvey Mudd) with many contributing authors. This content by OpenStax is licensed with a CC-BY-SA-NC 4.0 license. Download for free at http://cnx.org.