Question

How do you find the Limit of `(x/lnx)` as x approaches infinity?

Answer 1

`oo`

Explanation:

`lim_{x \to \infty} x/lnx`

this is in indeterminate form ie `\infty / infty` so you can use L'Hopitals Rule

`\implies lim_{x \to \infty} x/lnx = lim_{x \to \infty} 1/(1/x) = lim_{x \to \infty} x = \infty`