Problem Statement:

suppose that { } and { } are sequences such that for all . Show that if and , then . Hint: an " -argument" works well here.

Relevant Theorems:

Thm 3.3-a (Baby-Rudin) -

My Work:

For some , when , then given .

For some , when , then given .

now, and .

From thm 3.3, we have that and since for all , then