The Governor is the constitutional head of a state in India and performs various duties. The powers and limitations of the Governor in Indian polity can be discussed as follows:

• The Governor is the executive head of the state and appoints the Chief Minister and other ministers with the advice of the Chief Minister.
• The Governor has the power to dissolve the state legislative assembly on the recommendation of the Chief Minister or in case of a constitutional crisis.
• The Governor can grant pardons and reprieves to convicted individuals.
• They can summon, prorogue or dissolve the state legislative assembly and call for joint sitting of both houses of the state legislature.
• The Governor can give assent to bills passed by the state legislature or withhold it, sending back the bill for reconsideration.
• The Governor is also the chancellor of state universities and can perform various academic duties.
• The Governor's limitations include being bound by the advice of the Chief Minister in most matters, thus limiting their independence to act.
• The Governor cannot interfere in the functioning of the judiciary or the state legislative assembly unless advised to do so by the President.
• The Governor cannot act arbitrarily, without proper constitutional or legal authority, as this could lead to impeachment and removal.

Overall, the Governor performs various functions as the constitutional head of a state but is restricted by various limitations and is required to act within the framework of the Constitution and the law.