Control-drag (or type) the equation $g\left(x\right)\=\dots$

Context Panel: Assign Function

From the graph of $g\left(x\right)$ in Figure 1.1.2(a), one might conclude that $\underset{x\to 0}{lim}g\left(x\right)\=0$.

This conclusion might be reinforced by the data in Table 1.1.2(a) where it appears that as $x$ approaches zero from either side, the values of $g\left(x\right)$ seem to tend towards zero.

Expression palette: Limit operator

Context Panel: Evaluate and Display Inline

Applying Maple's limit operator to $g\left(x\right)$ shows that the actual limit as $x\to 0$ is not zero, but a small positive number.

The graph of $g\left(x\right)$ in Figure 1.1.2(b), drawn on a smaller interval about $x\=0$, also shows that the limit is not zero, but the small positive number ${10}^{-5}$.

Table 1.1.2(b) evaluates $g\left(x\right)$ at points closer to $x\=0$.