Question

lim as x approaches 0+ (x^(-1/lnx))

Answer 1

is this
\[x^{-\frac{1}{ln(x)}}\]?

Answer 2

in any case first step wil be to see this is of the form
\[0^{-\infty}\] so take the log get
\[-\frac{1}{\ln(x)}\ln(x)\]
\[=-1\]

Answer 3

so your answer will be
\[e^{-1}=\frac{1}{e}\]