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P Take a Test Ebelin Dutan Google Chrome https:// www.mathxl.com /Student Player Test aspx?testld-135423137& center win yes MAT 190-25 Shell Calculus I Summer 2016 Quiz: Chapter 2 Quiz This Question: 1 pt 2 of 20 (13 complete Y Evaluate lim f(x) and lim x) for the rational function. Then give the horizontal asymptote of f (if any). 00 X- CO 12x6 7 f(x 4x6 5x5 Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A. 12x6 7 (Simplify your answer.) Im 4x 5x x 00 O B. The limit does not exist and is neither oo or oo. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice O A. 12x6-7 Simplify your answer.) lim x-co 4x6 5x O B. The limit does not exist and is neither co o co. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A. The function has a horizontal asymptote at y (Simplify your answer.) O B. The function has no horizontal asymptote. O Ebelin Dutan Time Remaining This 8:43 PM 6/26/2016Explanation / Answer
a)limx-> f(x)
limx-> (12x6-7)/(4x6-5x5)
limx-> (x6(12- 7/x6))/(x6(4- 5/x))
limx-> (12- 7/x6)/(4- 5/x)
=(12-0)/(4-0)
=12/4
=3
b)limx->- f(x)
limx->- (12x6-7)/(4x6-5x5)
limx->- (x6(12- 7/x6))/(x6(4- 5/x))
limx->- (12- 7/x6)/(4- 5/x)
=(12-0)/(4-0)
=12/4
=3
horizontal asymptote is y =limx-> f(x)
horizontal asymptote is y =3
and
horizontal asymptote is y =limx->- f(x)
horizontal asymptote is y =3
only one horizontal asymptote , i.e, y=3
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