- #1

mynameisfunk

- 125

- 0

**could someone please help me I am urgent & desperate**

## Homework Statement

True or False, give proof or counterexample

(1) If [itex]a_n \geq 0[/itex] for all [itex]n[/itex] and [itex]\sum a_n[/itex] converges then [itex]na_n \rightarrow 0[/itex] as [itex]n \rightarrow \infty[/itex].

(2) if [itex]a_n \geq 0[/itex] for all n and [itex]\sum a_n[/itex] converges, then [itex]n(a_n-a_{n-1}) \rightarrrow 0[/itex] as [itex]n \rightarrow \infty[/itex].

## Homework Equations

## The Attempt at a Solution

I thought i had it solved by setting [itex]a_n[/itex] to [itex]1/(n^2)[/itex]