| \(\underrightarrow{x~\hbox{approaches 3 from the left}}\) | \(\underleftarrow{x~\hbox{approaches 3 from the right}}\) | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| \(x\) | \(2.9\) | \(2.99\) | \(2.999\) | \(\ \rightarrow \) | 3 | \(\leftarrow\) | \(3.001\) | \(3.01\) | \(3.1\) |
| \(f( x) =\dfrac{x}{(x-3)^{2}}\) | \(290\) | \(29{,}900\) | \(2{,}999{,}000\) | \(f(x)\) becomes unbounded | \(3{,}001{,}000\) | \(30{,}100\) | \(310\) | ||