Find the vertical horizontal and oblique a if any for the fo

Find the vertical, horizontal, and oblique a if any, for the following rational function. x 5 Select the correct choice below and fill in any answer boxes within your choice. A. The vertical asymptote(s) is/are x se a comma to separate answers as needed.) OB. There is no vertical asymptote. Select the correct choice below and fill in any answer boxes within your choice. OA. The horizontal asymptote(s) is/are y (Use a comma to separate answers as needed.) OB. There is no horizontal asymptote. select the correct choice below and fill in any answer boxes within your choice. OA. The oblique asymptote(s) is/are y (Use a comma to separate answers as needed.) OB. There is no oblique asymptote.

Solution

given R(x)=5x/(x+5)

vertical asymptote:

x+5=0

x=-5

horizontal asymptote :

y =lim_x->5x/(x+5)

y =lim_x->5/(1+(5/x))

y=5/(1+0)

y=5

no oblique asymptote