# Math Help - more Proofs (real analysis)

1. ## more Proofs (real analysis)

thanks

2. For part a.
Theorem If a sequence converges then it is bounded.

Theorem A bounded sequence times a null sequence is null.
(Null meaning the sequence has limit 0.)

Therefore the sequence x_n is bounded. Let (y_n)=n, then (1/y_n) is null.