Navigating the world of calculus introduces us to the fascinating, and sometimes perplexing, concept of discontinuity. A discontinuity in a function, f, represents a point where the function is not ...

Recall that a function \(f\) is continuous at a number \(a\) if \(\displaystyle \lim_{x\to a}f(x)=f(a)\text{.}\) Alternatively, a function \(f\) is continuous at a ...

The concept of continuity in mathematics, particularly in the realm of functions, is fundamental. It speaks to the unbroken nature of a function's graph, allowing us to trace it without lifting our ...