Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4

a) x=2, y=0

b) x=2

c) x=2, x=-2

d) x=2, y=1

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

if then y = b is horizontal asymptote

Then:

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

hi,

3. 12.15, you are correct.

4.2.01, your first digit is correct,

hope this !

step-by-step explanation: