Question

Solve : lim[ln(x)-ln^2(x)]^3 , x->e

Answer 1

We have
\[\lim _{x \to e} (\ln x- (\ln x)^2)^3\]
we know ln e=1
so
\[ (1- (1)^2)^3=0\]
\[\lim _{x \to e} (\ln x- (\ln x)^2)^3=0\]

Answer 2

Thank you!

Answer 3

Welcome :D :D