Question 993143
{{{a(x-r)^2/(x-2)^2}}}
Not yet sure of the factor, a, but at least the only possible hole is at x=2; but not yet right unless numerator has this same binomial factor as denominator.


{{{a(x-2)/(x-2)}}}
Degree of numerator and denominator are same, and degree not need to be greater than 1.


{{{2(x-2)/(x-2)}}}
The constant factor is 2, making sure that the horizontal asymptote is y=2; which the line IS REACHED.  No vertical asymptote; just the hole at x=2.