Problem 4 (Fermat). This problem outlines an approach to find for" where a > 0 is a real number. Let q be a real number between 0 and 1; that is, 0 0, and show that F.(f) = 7 (1-q) ( 1 - ga+1) (1 -q(a+1)(n+1)). (c.) We define the q-integral by taking the limit [ felder : = lim F.(f). In this manner find (d.) Now take the limit as q -+ 1 to show that (e.) Why did we require a > 0? For which steps do we need conditions on a. Explain