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Use the "two pictures" concept of boxes and the area under a curve (refer to picture below) to
estimate the size of the sum S. That is, find two numbers, a lower estimate A and an upper
estimate B, such that A
Solution
Now, as n= 108 , values come out to be:
A= 2*(104) - 2 = 19998
and B= 20000.
Note: this sum diverges and approaches infinity as n approaches infinity.

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