Suppose that A is a constant and f(x) is a function of a such that Ax...

 

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Suppose that A is a constant and f(x) is a function of a such that Ax x+3 < f(x) < x + 243 for all x near 27 but not equal to 27. We are interested in finding the limit of f(x) as a approaches 27 by means of the Squeeze Theorem. (a) For the Squeeze Theorem to be applicable in this case, the constant A must be equal to a specific number. Find this number. Answer: A -0 (b) Assuming that A is that number for which the Squeeze Theorem is applicable, find lim f(x). Answer: This limit is equal to x27 Suppose that A is a constant and f(x) is a function of a such that Ax x+3 < f(x) < x + 243 for all x near 27 but not equal to 27. We are interested in finding the limit of f(x) as a approaches 27 by means of the Squeeze Theorem. (a) For the Squeeze Theorem to be applicable in this case, the constant A must be equal to a specific number. Find this number. Answer: A -0 (b) Assuming that A is that number for which the Squeeze Theorem is applicable, find lim f(x). Answer: This limit is equal to x27