What are the asymptote(s) and hole(s), if any, of # f(x) = (x*(x-2))/(x^2-2x+1)#?
This rational equation has a vertical and horizantal asymptote .
Vertical asymptote is determined by factorizing the denominator :
Let us find the horizantal asymptote :
As it is known we have To check both degrees of the
numerator and denominator .
Here , the degree of the numerator is
Same degree in the numerator and denominator then horizantal