Please show all work, step by step, written as neatly as possible. Thank you so much! The picture below helps to prove the statement that is below. Definition 3.5.1. We say co is a cluster point of S C R if for every ME R, there exists an x E S such that x _ M. Similarly -co is a cluster point of S C R if for every M E R, there exists an x E S such that x 0, there is an M E R such that If ( x) - LIKE whenever x 2 M, then we say f(x) converges to L as x goes to co. We call L the limit and write lim f (x) := L. Alternatively we write f(x) - Las x - co. Similarly, if -co is a cluster point of S and there exists an L E R such that for every & > 0, there is an M E R such that If ( x) - LIKE whenever x