- #1
TsAmE
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Homework Statement
Find lim x -> ∞ (x - lnx)
Homework Equations
None.
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 don't know what to do :(. I do know that this is an indeterminate difference of the form ∞ - ∞