Problem:
Give numerical evidence to evaluate


Visualization:
Using Limits (from the University of Arizona):

  1. 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 .
  2. If you choose Yes then read the instructions and press when you are ready to proceed.
  3. Use the arrow keys to highlight Function Operations and press .
  4. Use the arrow keys to highlight Create Function and press .
  5. At the prompt, Enter function:, type
    sin(2*p*x) .
    You enter p by pressing and then using the down arrow to move to p. Press .
  6. Use the arrow keys to move to Limit as x -> +?? and press .
  7. Press several times to get the following table:

  1. Clearly this table gives us the wrong answer.
  2. Press and then use the arrow keys to move to Method.
  3. At the prompt Choose selected point exactly halfway?, use the arrow keys to move to No and press .
  4. Use the arrow keys to move to Limit as x -> +?? and press .
  5. Press several times to get the following table: