A. The Apex governor limits are reset for each iteration of the execute() method.
This statement is true. In Salesforce, when you use batch Apex, each execution of the execute() method in a Batchable class is considered a separate transaction. Therefore, the governor limits are reset for each execution of the execute() method. This design allows batch Apex to process records in batches, effectively managing large data volumes by resetting the limits with each batch.

B. The Apex governor limits might be higher due to the asynchronous nature of the transaction.
This statement is true. Asynchronous Apex, which includes batch Apex, generally allows for higher governor limits compared to synchronous Apex. For example, asynchronous Apex increases the number of SOQL queries, DML statements, and other resources available compared to synchronous executions. This helps in processing large sets of data more efficiently.

It is A,C