(Section 2.1: An Introduction to Limits) 2.1.6 Solution MethodWe use the same method that we used in Part A for two-sided limits. fis a rational (in fact, polynomial) function with implied domain ±. Here, we observe that 3 is in the domain off, so we substitute (“plug in”) x=3and evaluate f3(). Solutionlimx±3²x+3=3+3=6Numerical / Tabular MethodAlthough 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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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.