| \(\underrightarrow{x~\hbox{approaches 0 from the left}}\) | \(\underleftarrow{x~\hbox{approaches 0 from the right}}\) | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| \(x\) | \(-\dfrac{1}{10}\) | \(-\dfrac{1}{100}\) | \(-\dfrac{1}{1000}\) | \(-\dfrac{1}{10{,}000}\) | \(\rightarrow\) | 0 | \(\leftarrow\) | \(\dfrac{1}{10}\) | \(\dfrac{1}{100}\) | \(\dfrac{1}{1000}\) | \(\dfrac{1}{10,000}\) |
| \(f(x) =\sin \dfrac{\pi }{x^{2}}\) | 0 | 0 | 0 | 0 | \(f(x)\) approaches 0 | 0 | 0 | 0 | 0 | ||