Let It can be shown that

(A.) Find the smallest number such that for every positive integer

(B.) Find

(C.) Note that Then
Suppose is used to approximate
The error is which is less than
Use the formula for the sum of a geometric series
to calculate this last sum and thereby to estimate the error in the approximation.
Your answer to C. should be more than the actual error which is 0.0401478186662987.

You can earn partial credit on this problem.