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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