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Unformatted text preview: possible value depending upon how fast one grows relative to the other. This is why “ ∞∞ ” is called an indeterminate form . Consider the following: When x is a very large number, how much diﬀerence is there between the numbers x and x 3 ? between √ x and √ x + 1? Justify your conclusion with a few large x values. x x x 3 x √ x √ x + 1 Conclusion: Conclusion: Graph the functions on the axes as indicated below: y = x and y = x 3 y = √ x and y = √ x + 1 Calculate the limits using the methods outlined in class. lim x →∞ x 3x lim x →∞ √ x + 1√ x Do these two limits agree with your conclusions above? Now evaluate the “ ∞  ∞ ” form: lim x →∞ p x 2 + 4 xx 2...
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This note was uploaded on 01/13/2010 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
 Fall '08
 ALL
 Calculus, Asymptotes

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