Fibonacci posed the following problem: suppose that rabbits live forever and that every month each pair produces a new pair which becomes productive at age 2 months. if we start with one newborn pair, how many pairs of rabbits will we have in the nth month? show that the answer is f_n, where {f_n} is the fibonacci sequence defined in this example. this answer has not been graded yet. (b) let a_n = f_n + 1/f_n and show that a_n - 1 = 1 + 1/a_n - 2. this answer has not been graded yet. assuming that {a_n} is convergent, find its limit. (if an answer does not exist, enter dne.)