Quiz

Answer the following true or false and explain your reasoning

A.  If a_n and b_n are sequences with 0 < a_n < b_n for all n and if b_n converges to 0, then a_n also converges to 0.

B.  If the sequences {a_n} and {b_n} both diverge, then the sequence {a_n + b_n} also diverges.