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Sec 3.5 Limits at Infinity See anything?
Divide numerator and denominator by the largest power of x in the denominator. Using infinite limit property #3. f(x) has a horizontal Asymptote at y=1.5
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If the degree of the numerator is < the degree of the denominator
then the limit of the rational function is 0. If the degree of the numerator is = the degree of the denominator then the limit of the rational function is the ratio of the leading coefficients. If the degree of the numerator is > the degree of the denominator then the limit of the rational function DNE.
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Guidelines for Finding Limits at +- Infinity (Horizontal Asymptote Rule from Alg2Trig!)
If the degree of the numerator is < the degree of the denominator then the limit of the rational function is 0. HA y=0 If the degree of the numerator is = the degree of the denominator then the limit of the rational function is the ratio of the leading coefficients. HA 3. If the degree of the numerator is > the degree of the denominator then the limit of the rational function DNE. No HA (if degree of numerator is 1 more than the degree of the denominator, then SA y = quotient. Use long division)
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Because x is NEGATIVE!
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