Use the two pictures concept of boxes and the area under a c

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<S<B.

Use the \"two pictures\" concept of boxes and the area under a curve to estimate the size of the sum 108 n=1 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.