Let En - r and Un - y in the space R with metric d(e,x') = x -r'). Show that Intyn-cty In - Un -C- y Inyn - cy, and provided that each yn * 0 and y * 0, In/ Un - x/y. Hint: First show that +, -, ', / are continuous functions from (R2, dj ) to (R, | . ().]