- #1

gtfitzpatrick

- 379

- 0

## Homework Statement

prove that lim

_{(n[tex]\rightarrow\infty[/tex])}(r

^{1/n}) = 1 for r> 0

## The Attempt at a Solution

let [tex]\epsilon[/tex] > 0 be given we need to find n

_{0}[tex]\in[/tex]

**N**such that

[tex]\left|[/tex]r

^{1/n}- 1 [tex]\left|[/tex] < [tex]\epsilon[/tex]

but not really sure where to go from here?