MTH 161 Study Guide - Comprehensive Final Exam Guide - Trigonometric Functions, Tanx, Squeeze Theorem

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Endpoints of intervals: if an endpoint is included, then use [ or ]. For example, the interval from -3 to 7 that includes 7 but not -3 is expressed (-3,7]. In nite intervals: for in nite intervals, use inf for (in nity) or -inf for - (- For example, the in nite interval containing all points greater than or equal to 6 is expressed [6,inf). Unions of intervals: if the set includes more than one interval, they are joined using the union symbol u. For example, the set consisting of all points in (-3,7] together with all points in [-8,-5) is expressed [-8,-5)u(-3,7]. All sets should be expressed in their simplest interval notation form, with no overlapping intervals. Empty intervals: if the answer is the empty set, you can specify that by using braces with nothing inside: { } Special symbols: you can use r as a shorthand for all real numbers. So, it is equivalent to entering (-inf, inf).

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