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

Conditions
    • sin(x) > 0,
    • x ≠ 0
give the domain

Now it is time to find limits at 2kπ from the right and at (2k + 1)π from the left.

Hint on limit at 2kπ from the right
Hint on limit at (2k + 1)π from the left
Answer