Evaluating a Trigonometric Limit In Exercises 53–62, complete the table to estimate . Use a graphing utility (set in radian mode) to graph the function and confirm your result. See Example 4.
To calculate: The estimated value of for the function by completing the following table:
Also confirm the result by use of graphical utility.
The trigonometric function is, .
Limit of a function exit at a point if the left-hand limit, right hand limit and the function itself has approximately same value.
To estimate the value of , substitute the different values of from the given table in the function to get the complete table:
Now, Calculate the value of :
From the table, it can be clearly seen that the value of .
Therefore, the value of
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