To sketch: The graph of which satisfies the conditions, .
Given that, .
Here, the left hand limit and the right hand limit of are not the same. So, plot the open dot on (0, 2) and (0, −1).
Moreover, the graph must contain a point (0, 1) as . So, mark the point (0, 1) as a filled dot.
Thus, the possible graph of is shown below in Figure 1.
In Figure 1, open dots indicate that the points are excluded.
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