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# Determine the points of continuity of the following functions and state which theorems ISBN: 9780471321484 424

## Solution for problem 1 Chapter 5.2

Introduction to Real Analysis | 3rd Edition

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Problem 1

Determine the points of continuity of the following functions and state which theorems are used in each case. x 2 + 2x + 1 (a) /(x) := 2 (x e R), X + 1 (b) g(x) := Jx + .Ji (x ~ 0), h ) JI + I sin xI (c) (x := (x :F 0), (d) k(x) :=cos Jt + x 2 (x e R).

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##### ISBN: 9780471321484

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