Question

can somebody teach me continuity in calculus?

Answer 1

I'm sure there exists somebody who can... :)
LOL jk

Shall I assume you are familiar with limits? :)

Answer 2

A function
f(x) is said to be continuous over a point c if and only if the following conditions hold:

\[f(c) \ Exists\]
\[\lim_{x \rightarrow c}f(x) \ Exists\] and
\[f(c) = \lim_{x \rightarrow c} f(x)\]

Answer 3

Do you have an example that we can check?

Answer 4

Determine whether the following functions are continuos or not the given points.