|
factor it like your prof hinted: x(1 - (1/x)*ln(x))
1/x * ln (x) can be written as ln( x^(1/x)) if you prefer. What's the limit of x^(1/x) as x goes to infinity? Use your calculator to plug in 10^9 for x and its 1.01.. so yeah its 1.
You are left with: x(1 - ln(1))
|