5 given a real number x we dened the oor of x denoted

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Unformatted text preview: Given a real number x, we defined the floor of x, denoted by x , as the largest integer smaller than or equal to x. For example, π = 3, 7 = 7, and −0.5 = −1. (a) At which points is the function f (x) = x continuous? (b) Consider the function g (x) = sin x . Show that g has exactly one removable and one non-removable discontinuity inside the interval (0, 2π ). 6. In each of the following questions, we list one or more properties for a function f . For each question, give us one function that satisfies them and ske...
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This note was uploaded on 02/09/2014 for the course MAT 137 taught by Professor Uppal during the Fall '08 term at University of Toronto- Toronto.

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