For example, f(x)= 1/x, which is infinite when x→0, and is denoted as lim( 1/x)=∞(x→0).
Infinity and infinitesimal have a reciprocal relationship, that is, when x→a is f(x) is infinite, 1/f(x) is infinitesimal.
Infinity is a mathematical symbol and a variable, which is denoted as ∞. Not all infinity are equal, they can even compare sizes:
Zero-order infinity: the number of all integers
First-order infinity: the number of all decimals (equal to all points on the straight line, all points on the surface and all points on the solid).
Two levels of infinity: draw any line on a piece of paper, and the number of all possible lines (the number of curve styles).
Zero order infinity
All infinity is equal to one of the above three.
Second-order infinity is the largest infinity known at present.
I hope it helps you!