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Limits Involving Infinity!!!?

Published by: wktd 2009-01-07

  • How do you find the equation of the horizontal asymptote of a limit where x=>infinity?
    Do you put in the end behavior model to replace f(x) and then solve and then make the answer equal to y?
    Find the horizontal asymptotes:
    Math 101 Reading Assignments March 1997::
    Section 2.6 Limits and Continuity Section 2.7 Limits Involving Infinity; New Limits from Old lim_(x->infinity) cos(x) For March 7. Section 3.1
    http://acunix.wheatonma.edu/tratliff/1997__Spring/math101/reading-march.html
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    1) lim x=>infinity (x^2-2x+3)/(x+2)
    2) lim x=>infinity (x^3-2x+1)/(x-2)

    What do you do if it has more than one horizontal asymptote?! I'M CONFUSED
    CalcI Limits::
    Limits At Infinity, Part I – In this section well look at limits at infinity. on polynomials and rational expression involving polynomials in this section.
    http://www.scribd.com/doc/7084344/CalcI-Limits
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    Lesson 4: Limits involving Infinity (worksheet)::
    Lesson 4: Limits involving Infinity (worksheet). math function limit math1a Lesson 7: Limits Involving Infinity (works 2257 views
    http://www.scribd.com/doc/2065587/Lesson-4-Limits-involving-Infinity-worksheet
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    (Could you please show the steps required to solve those two questions as well as the answer to the general written questions above? THANKS)


  • 1) goes to oo also
    2) goes to oo also

    These do not have horizontal asymptotes

    You will only get horizontal asymptotes when the degree in the numerator is less than or equal to the degree in the denominator.

    In both cases, you have degree of numerator larger than degree of denominator, so you will have end behavior model NOT horizontal asymptotes.

    =]





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