Comparison Theorem for improper integrals, (the 3 steps, ex3), integral of 1/ln(x) from e to inf HD

integral of 1/lnx from e to inf, The list: as x goes to inf, lnx, x^p, b^x, x^x The 3 steps to use the comparison theorem for improper integral: what you know, do the check, draw conclusion!