See Fig.
Given curves are
y = exlnx (1)
y = lnx/ex (2)
Points of intersection of (1) and (2) are P(1/e, - 1) and Q(1, 0)
For curve (1), y < 0 for 0 < x < 1 and y ≥ 0 for x ≥ 1
Obviously y → 0 when x → 0
For curve (2), y → -∞ when x → 0
y < 0 for 0 < x < 1, y ≥ 0 for x ≥ 1
Obviously y → 0 when x → ∞
This shape of curves is depicted in Figure