Let Ln denote the arc length of the curve x^2n + y^2n = 1 where n is a positive integer. Find Lim (n->∞) Ln
What is the least positive integer n that can be placed in the following expression:
n!(n+1)!(2n+1)! - 1
and yields a number ending with thirty digits of 9's.
Let a be a single-digit positive integer. Let n be another positive integer that adjusts itself so that the unit's place digits of n and an + 1 are the same. Find the sum of all possible values of a.
