Continuity of continuous functions, huh?
Discontinuity (not dix) is a kind of discontinuity. . . Also called jumping point?
The picture below illustrates what is continuous and discontinuous. . For example, x=-2,-1, 2 is discontinuous, and the rest are continuous.
A vertical asymptote is a vertical asymptote. . You must understand the picture below at a glance.
The VA of this equation is x= 1.
Similarly, horizontal asymmetry is a horizontal asymptote, for example, HA in the above figure is y= 1.
Hole is a missing point in the function image, and it is also a discontinuous situation. . For example, the hole behind the picture below is x=2.
These must be the basis for you to study calculus in the future, and you will continue to study calculus in the future. . For example, you are now a pre-calculus student, and there will be calculus later, and there will be advanced calculus. . I study mechanical engineering, so I have to study engineering calculus. . If you study engineering, science or finance after going abroad, mathematics (usually calculus and algebra) must be studied every semester. . . . So come on, learn math. . . . . .