8: This general power needs to be transformed into its canonical form first:

Conditions
    • 4 − 2x > 0,
    • x ≠ 0
give the domain

D( f ) = (−∞,0) ∪ (0,2).

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

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