Explanation:

- Option 1: end foreign influences In a region is correct. The Sepoy Rebellion in India, the Opium Wars, and the Boxer Rebellion in China were all efforts to resist and end foreign dominance and interference in their respective regions.

- Option 2: limit the gap between the rich and poor is not a shared goal among these uprisings, as they were primarily focused on resisting foreign rule and influence.

- Option 3: decrease taxes was not a central aim of these movements, which were more concerned with sovereignty and control over their own affairs.

- Option 4: dethrone monarchs does not accurately describe these events, as they were not focused on removing domestic rulers but addressing external control.