Category: calculus

A function is continuous at one point \(x=a\) means \(\lim_{x\to a}f(x)=f(a)\). According to which condition is not satisfied, we can classify the type of discontinuous points.

[latexpage] There are many methods to evaluate limits. The most common methods are: Limits laws L’Hospital’s principle Some elementary methods, such as factoring, rationalization, compare the order of infinity, etc. There are many other methods to evaluate limits such as squeeze theorem, the definition of definite integral, Taylor expansion, etc. But for us, those methods…