Let
(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.
ERROR
Your answer to C. should be more than the actual error which is 0.0401478186662987.