The enforcement of traffic laws, including the tolerance for exceeding the speed limit, can vary depending on the jurisdiction and the specific circumstances. While it is technically possible for an officer to pull you over and issue a ticket for going just 1 mph over the speed limit, it is relatively uncommon in practice.
In many jurisdictions, there is a general understanding that minor variations in speed are allowed due to factors such as speedometer inaccuracies, variations in traffic flow, and the need for reasonable enforcement. However, it's important to note that individual officers have discretion in enforcing traffic laws and can make judgments based on their training, department policies, and the specific circumstances of the situation.
It's always advisable to obey posted speed limits and exercise caution while driving. Even if you believe that going slightly over the speed limit may be tolerated, it is still a violation of the law and could potentially result in a ticket or other consequences.