What problem do f and g solve? Prove your answer. Two copies of an out-of-print book were listed online by Seller A and Seller B. Their prices were over $1,000,000 each— and the next day, both prices...

What problem do f and g solve? Prove your answer.

Two copies of an out-of-print book were listed online by Seller A and Seller B. Their prices were over $1,000,000 each— and the next day, both prices were over $2,000,000, and they kept going up. By watching the prices over several days, it became clear that the two sellers were using algorithms to set their prices in response to each other

1. Suppose that b0 = 1. Find the closed form solution for an and bn. Prove your answer

2. State a necessary and sufficient condition on α, β, and b0 such that an = Θ(1) and bn = Θ(1)