- #1

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## Homework Statement

Identify the following limits. Indicate if they do not exist. Assume ##r\ne 0##.

##\displaystyle {\lim_{n\to\infty}}(-1)^n( r^n-r^{-n})##

##\displaystyle {\liminf_{n\to\infty}}(-1)^n( r^n-r^{-n})##

##\displaystyle {\limsup_{n\to\infty}}(-1)^n( r^n-r^{-n})##

## Homework Equations

## The Attempt at a Solution

I'm not sure how I should begin to determine what this limit is, and what the limsup and liminf are.