CalcNotes0201-page7

CalcNotes0201-page7 - (Section 2.1: An Introduction to...

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(Section 2.1: An Introduction to Limits) 2.1.6 Solution Method We use the same method that we used in Part A for two-sided limits. f is a rational (in fact, polynomial) function with implied domain ± . Here, we observe that 3 is in the domain of f , so we substitute (“plug in”) x = 3 and evaluate f 3 () . Solution lim x ± 3 ² x + 3 = 3 + 3 = 6 Numerical / Tabular Method Although it is not a comprehensively convincing method that is typically accepted on exams, and it can even be misleading at times, this method is at least easy to understand. Select an increasing sequence of real numbers that approaches 3 such that all the numbers are less than 3. Then, evaluate the function at those numbers and take a guess as to what number, if any, the
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