MATH117 Study Guide - Midterm Guide: E-Book, Upper And Lower Bounds, Limit Of A Sequence

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R denotes the set of all real numbers. Q denotes the set of all rational numbers i. e. fractions, p/q. Z denotes the set of all integers. N denotes the set of all natural numbers, these are the nonnegative integers. (thus 0 is the smallest natural number) The clopen interval is denoted by [a,b) or (a,b] A set is a collection of elements. A u b is the union of a and b and is the set of elements belonging to at least one of the sets. A b intersection of a and b and is the set of elements belonging to both of the sets. A function f from set a to set b (or simply function) is a rule that assigns to each element x of the domain set a to exactly one element called f(x) of the codomain set b. All inputs of x must have a unique output.