To compare: The graphs of and and find the point where graph of g surpasses graph of f.
The curve of surpasses the curve of at the point .
Use online graphing calculator and draw the graph of the functions and as shown in the Figure1,
From Figure1, observe that and has only one intersection point .and if , then .
Zoom in the graph in Figure 1 and draw the graph of the given function as shown in below Figure 2,
From Figure2, observe that the curve of approaches when x is large.
By zooming Figure2, draw the graph of the function as shown in below Figure 3,
From Figure3, observe that is equal to at point .
Therefore, the curve surpasses the curve is at the point .
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