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# Section1Notation

Symbol Description Location
$\lim_{n \to \infty} x_n = L$ sequence $x_n$ has limit $L$ Definition 3.3.4
$x_n \to L$ sequence $x_n$ has limit $L$ Definition 3.3.4
$\int f(x)\, dx$ indefinite integral or family of antiderivatives Definition 8.5.5
$\big[ F(x) \big]_a^b$ evaluation of change in $F(x)$ as $x$ goes from $a$ to $b$ Paragraph
$\mathbb{N}$ the set of natural numbers Paragraph
$\mathbb{Z}$ the set of integers Paragraph
$\div a$ multiplicative inverse of $a$ Paragraph
$\mathbb{R}$ the set of real numbers Paragraph
$\mathbb{C}$ the set of complex numbers Paragraph
$a \in A$ $a$ is in the set $A$ Paragraph
$a \not \in A$ $a$ is not in the set $A$ Paragraph
$A \cup B$ union of sets $A$ and $B$ Paragraph
$A \cap B$ intersection of sets $A$ and $B$ Paragraph
$(a,b)$ open interval with endpoints $a \lt b$ Paragraph
$[a,b]$ closed interval with endpoints $a \lt b$ Paragraph
$(a,b]$ semi-open (semi-closed) interval with endpoints $a \lt b$ Paragraph
$Ax+By=C$ general equation of a line Definition A.2.1
$y=k$ equation of a horizontal line Definition A.2.2
$x=h$ equation of a vertical line Definition A.2.3
$\displaystyle \frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}$ slope of line joining $(x_1,y_1)$ and $(x_2,y_2)$ Definition A.2.4
$y=m(x-h)+k$ point–slope equation of a line Definition A.2.5
$y=mx+b$ slope–intercept equation of a line Definition A.2.6
$y=m(x-a)$ slope and $x$-intercept equation of a line Definition A.2.8
$f(x)=ax^2+bx+c$ general quadratic polynomial Definition A.2.9
$y=a(x-h)^2+k$ quadratic polynomial in vertex form Paragraph
$y=A \cdot b^x$ general exponential function Definition A.2.25
$\exp_b(x)=b^x$ elementary exponential function with base $b$ Definition A.2.27