Wolfram Alpha evaluates this limit
$\lim_{x\to \infty } \, \frac{x}{\ln (x)-\ln \left(\frac{1}{x}\right)}$
to be infinity.
But I suspect it could be a real number. What is the correct answer?
Wolfram Alpha evaluates this limit
$\lim_{x\to \infty } \, \frac{x}{\ln (x)-\ln \left(\frac{1}{x}\right)}$
to be infinity.
But I suspect it could be a real number. What is the correct answer?
Wolfram alpha is right because the denominator is $\ln(x)-\ln(\frac1x)=2\ln x$, which grows slower than $x$.