13: Conditions
    • −1 ≤ /(1 − x)/(1 − 2x) ≤ 1,
    • 1 − 2x ≠ 0
give the domain

Df ) = (−∞,0) ∪ (2/3,1) ∪ (1,∞).

Now it is time to find limits at −∞, at 0 from the left, at 2/3 from the right, at 1 from the left and from the right, and at ∞.

Hint on limit at −∞
Hint on limit at 0 from the left
Hint on limit at 2/3 from the right
Hint on limit at 1 from the left
Hint on limit at 1 from the right
Hint on limit at ∞
Answer