Question

what do we mean by saying the limit as x tends to 1?

Answer 1

\[ \large \lim_{x \rightarrow 1} f(x) = c\]
means that \(f(x)\) (the outputs) approach \(c\) (some number) as \(x\) approaches 1 from both the left and the right:

For Example:
\[ \large \lim_{x \rightarrow 2} x^2= 4\]