Question

Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your result graphically.

Answer 1

Step 1 :

The expression is .

Let .

Construct the table of values for different values of x from each side :

x

Observe the table.

As x approaches 0 from each side, the value of tends to 0.25.

 .

 

Step 2 :

The graph of the function :

Observe the graph:

As x approaches 0 from each side, the value of tends to 0.25.

Solution :