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## Homework Statement

Finding the limit of (1/n)^(1/ln(n))

as n-> infinity

## Homework Equations

Log rules

## The Attempt at a Solution

so I take the ln of both sides and get

(1/ln(n))*ln(1/n) in an attempt to get it into the proper condition for l'hopitals rule.

1/ln(infinity) is zero but ln(1/n) is undefined and I have the same problem when trying to multiply by ((1/n)/(1/n)) because it is still an indeterminate form and I can not apply l'hopitals rule.