6: Limit at −∞:
No horizontal asymptote at −∞, but a chance for oblique.
In the second limit one can use l'Hospital's rule to show that x2x goes to zero at minus infinity. Oblique asymptote y = −x − 1 at −∞.
Limit at x = 0 from the left:
Vertical asymptote at x = 0.
Limit at x = 0 from the right:
Vertical asymptote at x = 0 confirmed.
Limit at ∞:
Horizontal asymptote y = 0 at ∞.
Answer