Respuesta :
Answer:
x=2 is the vertical asymptote.
horizontal asymptote is y=0
Step-by-step explanation:
Find the vertical and horizontal asymptotes
[tex]y=\frac{x^3}{(x-2)^4}[/tex]
To find out the vertical asymptote, we set the denominator =0 and solve for x
[tex](x-2)^4=0[/tex]
Take fourth root on both sides
[tex]x-2=0[/tex]
Add 2 on both sides , so x=2 is the vertical asymptote.
To find horizontal asymptote , we look at the degree of both numerator and denominator
Degree of numerator is 3 and the degree of denominator is 4
When the degree of numerator is less than the degree of numerator then horizontal asymptote is y=0
Here, [tex]3 <4[/tex] so the horizontal asymptote is y=0
