Trying various functions and values for a, b, and n (the number of rectangles used for the Reimann Sum), think about the following questions:
-Does the Reimann Sum always get closer to the integral as n increases?
-Is this true for both the right and left sums?
-Can you think of a function for which this would not be the case?
Nathaniel Lovelady, 2 November 2013, Created with GeoGebra