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Visualization of Series Exercises

Example 1

Find the area covered by the three grilled cheese sandwiches shown below.

Example 2

Visualize the harmonic series

on a 2-D graph. Draw the rectangle for each term an on the interval [n – 1, n], so that we get a right-hand sum instead of a left-hand sum.

Example 3

Draw 2-D graphs to visualize the series

using (a) a left-hand sum and (b) a right-hand sum.