For various functions f and for various values of a, numerically estimate the value of the limit
which is the slope of the tangent line to the graph of f at x = a.
- Try various values for a and see if you can determine the pattern.
- Change the exponent 2 to other values and again try various values for a and see if you can determine the pattern.
- Consider the square root function (sqrt(x)) and see what happens at a = 0.
- Repeat the previous exercise with the absolute value function (abs(x)).