Complete the table and use the result to estimate the limit.

Question

Use a graphing utility to graph the function to confirm your result.

Answer 1

Step 1:

The expression is .

Draw the table for different values of x near 4.

x	3.9	3.99	3.999	4.001	4.01	4.1
f (x )	0.2041	0.2004	0.2000	0.1999	0.1996	0.1960

Observe the table,

As x tends to 3.999, the function f (x ) approaches to 0.2000.

As x tends to 4.001, the function f (x ) approaches to 0.1999.

Therefore,

As x tends to 4, the function f (x ) approaches to 0.2.

Step 2:

Graph the function:

Observe the graph:

As x tends to 4, the function f (x ) approaches to 0.2.

Solution: