What Is the Limit of (-1)^n/n as n Approaches Infinity?

[sara_87]

Homework Statement

Find the limit as n tends to \infty of:

\frac{(-1)^n}{n}

Homework Equations

The Attempt at a Solution

I know that (-1)^n alternates between 1 and -1.
I also know that the limit of 1/n is 0. But I don't know how to compute the above limit.
Any ideas will be appreciated. Thank you.

 

[happysauce]

Think about what each sequence is in between.

 

[SammyS]

Homework Statement

Find the limit as n tends to \infty of:

\frac{(-1)^n}{n}

Homework Equations

The Attempt at a Solution

I know that (-1)^n alternates between 1 and -1.
I also know that the limit of 1/n is 0. But I don't know how to compute the above limit.
Any ideas will be appreciated. Thank you.

Do you know the squeeze theorem?