Use a graphing utility to graph the function. Then use the trace or table feature to identify the limit.

lim 5/x-2 x-->2

I know I posted this question before but I am still having a hard time doing this. I pressed the y= button and typed the normal equation in: 5/x-2. Is this correct and if so now what do I do?

Exactly what you do depends on your calculator. Check your manual, or you might find it online. You need to graph, then use the trace function to approach the limit and see what the function does.

Yes, pressing the y= button on the graphing utility and typing the equation 5/(x-2) is the correct first step. However, since there is a division by (x-2) in the equation, which is not defined when x = 2, you may encounter an error on your graphing utility. To avoid this, you can rewrite the equation as 5 * (1/(x-2)).

Once you have entered the equation, you can proceed to graph it on the graphing utility:

1. Enter the equation 5 * (1/(x-2)) into the graphing utility's function editor.
2. Adjust the window settings of the graphing utility, if necessary, to ensure that the graph is visible and includes the point where x = 2.
3. Press the "graph" or "draw" button on the graphing utility to plot the graph of the function.

After graphing the function, you can use the trace or table feature to identify the limit as x approaches 2:

Using the Trace Feature:
1. Locate the point on the graph where x = 2.
2. Use the trace feature on the graphing utility to move a cursor or highlight a point close to x = 2.
3. As you move the cursor or highlight the point closer to x = 2, observe the corresponding y-values.
4. If the y-values approach a certain value or become extremely large (positive or negative), then that indicates the limit as x approaches 2.

Using the Table Feature:
1. Access the table feature on your graphing utility.
2. Input a set of x-values that approach 2 from both sides. For example, you can use x-values like 1.9, 1.99, 1.999, 2.1, 2.01, 2.001, etc.
3. Corresponding to each x-value, observe the y-values in the table.
4. If the y-values approach a certain value or become extremely large (positive or negative), then that indicates the limit as x approaches 2.

By using either the trace or table feature on your graphing utility, you can determine the limit of the function as x approaches 2.