I'm a bit confused about what I am supposed to prove in this step of the problem. Am I supposed to prove that for any positive integer $T$, no matter it's size, I can always find positive integers $b<c<d<etc.....$ that are greater than $T$, and such that $a = 1/b + 1/c + 1/d...etc $?
Also, could you avoid giving me any hints on how to solve this problem, or information about rational numbers, when answering the question? I still want to try and figure out how to solve this question.
Thanks in advance.