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

Conditions
    • arctan(x) > 0,
    • x − 1 ≠ 0
give the domain

Df ) = (0,1) ∪ (1,∞).

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

Hint on limit at 0 from the right
Hint on limit at 1 from the left
Hint on limit at 1 from the right
Hint on limit at ∞
Answer