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You are not logged in. #1 20060103 10:01:33
Infinite LimitsFor f(x) = (2x + 5) / 3x  4, use graphs and tables to find the limit as x approaches infinity of f(x) and the limit as x approaches negative infinity of f(x)... Also identify any horizontal asymptotes... #2 20060103 10:20:38
Re: Infinite LimitsHorizontal asymptotes are the limits as x approaches infinity. You're answers are correct. Whenever you have a polynomial division, where a*x^n and b*x^n are the highest terms for each the numerator and the denominator, than a horizontal asymptote exists at a/b. Note that both n's have to be the same. In other words, this does not apply to 5x^3 / 2x^2. Edited to add: if you have a*x^n and b*x^m as the highest terms in the polynomial division, then: if n > m, the function goes to infinity if n < m, the function has a horizontal asymptote at x = 0 if n = m, the function has a horizontal asymptote at a/b Last edited by Ricky (20060103 10:22:36) "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #3 20060103 10:22:31
Re: Infinite LimitsIf x>+oo the function f is: Last edited by krassi_holmz (20060103 10:30:05) IPBLE: Increasing Performance By Lowering Expectations. #4 20060103 10:33:02
Re: Infinite LimitsAnalogic, IPBLE: Increasing Performance By Lowering Expectations. 