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EXAMPLE 9 Prove the following limit. lim 4x - 9 = 19 x - SOLUTION 1. Preliminary analysis of the problem (guessing a value for

EXAMPLE 9 Prove the following limit. lim 4x - 9 = 19 x - SOLUTION 1. Preliminary analysis of the problem (guessing a value for S). Let & be a given positive number. We want to find a number S such that if 0 0, choose S = =/4. If 0

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