Investigate numerically the behavior of the function

for values of **x** near **0**.

Using Limits (from the University of Arizona):

- After starting up the program, you are prompted
*"Would you like some instructions?"*Use the arrow keys to move to either*Yes*or*No*and then press . - If you choose
*Yes*then read the instructions and press when you are ready to proceed. - Use the arrow keys to highlight
*Function Operations*and press . - Use the arrow keys to highlight
*Create Function*and press . - At the prompt,
*Enter function:*, typesin( - A list of items appears at the right of the screen. Use the arrow keys to move to ?? and press .
- Finish entering the function by typing
*x) . * denotes multiplication and must be included. - Use the arrow keys to move to
*Point*and press . Next we enter the value that*x*approaches; however the default is 0 so we just press . - Now use the arrow keys to move to
*Method*and press . If we move to*No*at the prompt,*Select point exactly halfway?*, and press then we would get a random sequence of points converging to*0*. - Use arrow keys to move to
*Two Sided Limit*and press several times to get the following table: