5. A symmetric flat snowflake starts out as a square of size 1 millimeter. Every time step a new branch is added on the furthest edge of each of the previous branches. Each branch is a little square whose area is 1/ f times the ares of its "parent branch". (See Figure) What is the ares of the snowflake after a very long time? For what values of f is this final ares finite? What is the final ares in the case that f = 4