Question

Lt (1/n)^(1/ln n)=?
n->infty

Answer 1

first suppose
C=lt (1/n)^(1/ln n)
Taking ln both sides
ln C=(1/ln n) ln(1/n)
ln C=(1/ln n)(ln n^-1)
ln C=(1/ln n)(-1 ln n)
Now both ln n will cancel out
result in -1
ln C=-1
Taking anti log both sides
C=e^-1