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# If x e R, we define [x D to be the greatest integer n e Z such that n ~ x. (Thus, for

ISBN: 9780471321484 424

## Solution for problem 4 Chapter 5.1

Introduction to Real Analysis | 3rd Edition

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Problem 4

If x e R, we define [x D to be the greatest integer n e Z such that n ~ x. (Thus, for example, (8.3) = 8, (1r] = 3, (-1r) = -4.) The function x 1-+ (x) is called the greatest integer function. Determine the points of continuity of the following functions: (a) f(x) := (x) (b) g(x) := x(x), (c) h(x) := (sinx), (d) k(x) := (1/x) (x :f: 0).

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Religion 1000 Islam  Islam phobia: generalized fear or hostility against Islam  Images of Islam distorted by media, especially in Europe  Discrimination o Government based (legal forms) o Citizen based (the way people treat each other)  A world religion (greatly influenced)  An American religion  An inter-textual...

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If x e R, we define [x D to be the greatest integer n e Z such that n ~ x. (Thus, for

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