Let lo be an equilateral triangle with sides of length 7. The figure , is obtained by replacing the middle third of each side of lo by a new outward equilateral triangle with sides of length . The process is repeated a. Let Pn be the perimeter of In - Show that lim P = co. 1-+0o where In + 1 is obtained by replacing the middle third of each side of In by a new outward equilateral triangle with sides of length 1 20 + 1 . Answer parts (a) and (b). so lim P = co. n-+00 (Type an exact answer.) b. Let An be the area of In . Find lim An . It exists! n-+co lim A = n-+0o (Type an exact answer.)