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Question: exercise 112 105510 pts 14 figure 2 ilustration of the...

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Exercise 1.12. 10,5,5,10 pts) 14 Figure 2: Ilustration of the inclusion in (34) (a) Show that f( ) is continuous at if and only if every sequence (n} that satisfies linn-i also satisfies lmE) b) Show that every polymomial p() (see Exercise 1.5) is continuous at every point (c) Suppose玔-) and g(-) are polynorials uth g(2) 40, show that.. ts continuous di. (d) Consider the function p(z) g(x) 2z sin ( 0 ifェ=0. Using the e-5 version (33) of the definition of contimuity, show that fC) is continuous at 0 Given ε > 0, uhat is the largest value of δ that trill uork?
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