MATH-1200 Lecture 16: MATH 1200-LECTURE 16-Limits Section 2.4-2.5

• School: Vanderbilt University
• Department: Mathematics
• Course: MATH-1200
• Professor: Pamela Pigg

Document Summary

If any of the follow conditions is satisfied, then the line y = a is the horizontal asymptote of the curve y=f(x): lim x f (x) = l lim x f (x) = m. If the degree of numerator is equal to the degree of denominator, then we need to look at the coefficient to determine the horizontal asymptote which is also the limit of the function. y = If the degree of numerator is lower than the degree of denominator, then the horizontal asymptote is y=0, which is also the limit of the function. y = x. If the degree of numerator is higher to the degree of denominator, then there is no horizontal asymptote, but a slant. y = 8x 2 23x 3 f (x) = 8x 2 23x 3 (4x + 1)(x 3) (8x + 1)(x 3) D : ( , 2) ( 2, 1) ( 1, )