(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find lim x -> ∞ (x - lnx)

2. Relevant equations

None.

3. The attempt at a solution

lim x -> ∞ (x - lnx)

= lim x -> ∞ ( 1 / 1/x ) - ( 1 / 1/lnx)

= lim x -> ∞ ( 1 / lnx ) - ( 1 / x) / (1 / xlnx)

My working out is just getting bigger and bigger and I dont know what to do :(. I do know that this is an indeterminate difference of the form ∞ - ∞

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Lim x -> ∞ (x - lnx)

**Physics Forums | Science Articles, Homework Help, Discussion**