- #1
Elzair
- 11
- 0
Homework Statement
Prove the following limit:
[tex]lim_{n \rightarrow \infty } n^{ 1 / n } = 1 [/tex]
Homework Equations
Not sure.
The Attempt at a Solution
Given any [tex]\epsilon > 0[/tex], choose [tex]N \in \mdseries N[/tex] s.t.
[tex]\left| n^{ 1 / n } - 1 \right| < \epsilon[/tex] for all [tex]n > N[/tex]
I am not sure how to proceed.