Answer
See table, graph, and explanations.
Work Step by Step
a. See table for the calculations; we can see that as $x\to\infty$, $f(x)$ is a constant value of $0.367879441$.
b. See graph; we can see that the function has a constant value and if we zoom in or zoom out, the pattern does not change.
Extra: prove analytically. Given $y=(1/x)^{1/lnx}$, we have $ln(y)=(1/lnx)ln(1/x)=-(1/lnx)(lnx)=-1$, thus we have $y=1/e=0.367879441$, which is a constant.
