Question

how to show 1/n is "little oh" of 1/(ln(n))?
i.e
1/n=o(1/(ln(n)))

Answer 1

You need to show that
\[
\lim_{x\to \infty } \,
\frac {\frac 1 x}
{\frac 1 {\ln x}}=0
\]

Answer 2

Which is
\[
\lim_{x\to \infty } \,
\frac {\ln x}{x}=0
\]
Use L'hospital's rule to prove the above limit.