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

0 votes

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

asked Jan 8, 2015 in CALCULUS by anonymous

1 Answer

0 votes

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 () 0.2041 0.2004 0.2000 0.1999 0.1996 0.1960

Observe the table,

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

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

Therefore,

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

Step 2:

Graph the function:

Observe the graph:

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

Solution:

answered Jan 8, 2015 by Sammi Mentor
edited Jan 8, 2015 by bradely

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