1: Limit at −∞:

Horizontal asymptote y = −1 at −∞.

Limit at x = 0 from the left:

No vertical asymptote at x = 0 yet.

Limit at x = 0 from the right:

No vertical asymptote at x = 0 confirmed.

Limit at x = 1 from the left:

Vertical asymptote at x = 1.

Limit at x = 1 from the right:

Vertical asymptote at x = 1 confirmed.

Limit at ∞:

No horizontal asymptote at ∞, but a chance for oblique.

Oblique asymptote y = 2x + −1 at ∞.

Answer