To estimate: The value of by graphing the function .
The value of .
Using the graphing calculator, the graph of the function is drawn and shown below in Figure 1.
Zoom the graph towards the point where the graph crosses the y-axis as shown below in Figure 2.
From Figure 2, it is observed that graph of approaches 0.32 as x approaches 0 from either side.
Since the right hand and the left hand limits are equal, the value of exists.
That is, .
Thus, the value of .
To check: The correctness of the answer obtained in part (a) by evaluating the value of as x approaches 0.
As x approaches 0, evaluate the function for the x values .
Evaluate the function (correct to 6 decimal places) for the values of x and get the following table of values.
From the above table, it is observed that the value of is approximately closer to 0.32 as x approaches to 0 from either side. That is, .
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