That finally depends on your specific use of the continuity testing. There are applications where you may only accept resistance less than one Ohm, others where it's ok if it's less than e.g. 25 Ohm etc.
This is what the company Fluke says
Understanding Resistance and Beeps: The beep is triggered based on the resistance of the component being tested, influenced by the multimeter's range setting. For instance, at a 400.0 Ω range setting, a multimeter typically beeps if the component has 40 Ω or less resistance.
Optimal Range Setting: Use the lowest range setting for testing components that should have a low-resistance value, such as electrical connections or switch contacts.
Source: Fluke Continuity Testing
And this link might give you a more detailed insight to continuity testing