 A asymptote is a line the graph of the function gets closer and closer to but does not touch.

 Let denomination =0 and solve it. If x = a, Then x = a will be the vertical asymptote. Therefore, x=2 and x=5 are the vertical asymptotes.

 Let denomination =0 and solve it to find the vertical asymptote. If x = a, then the domain will be x is all real numbers except x = a.

 Now if the Numerator and the Denominator of the Rational expression are both Zero (0), for the same value of x, then the Division by Zero at this value of x is said to be 'meaningless' or undetermined, and we have a Hole in the Graph at this Value of x. The hole of function is x=1

Let Fact about limit:

Let If m>n, then y = 0, which is the x−axis, is the horizontal asymptote.

Let If m=n, then the horizontal asymptote is.

Let If n>m, then NO the horizontal asymptote. Because