- #1

kingwinner

- 1,270

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## Homework Statement

Let a

_{n}be an infinite sequence.

1) Is it true that a

_{n}

^{2}->0 as n->∞

=> a

_{n}->0 as n->∞ ?

2) Is it also true that a

_{n}->0 as n->∞

=> a

_{n}

^{2}->0 as n->∞ ?

## Homework Equations

N/A

## The Attempt at a Solution

Both SEEM to be true to me, but I am not sure why. What is the simplest way to explain these? I want to understand intuitively.

Any help is appreciated!