'Proper' in the Bible

We, on the other hand, will not boast beyond our proper limit, but [will keep] within the limits of our commission (territory, authority) which God has granted to us as a measure, which reaches and includes even you.

We do not go beyond our proper limit, boasting in the work of other men, but we have the hope that as your faith [in Christ and His divine power] continues to grow, our field among you may be greatly expanded [but still within the limits of our commission],

Test and evaluate yourselves to see whether you are in the faith and living your lives as [committed] believers. Examine yourselves [not me]! Or do you not recognize this about yourselves [by an ongoing experience] that Jesus Christ is in you—unless indeed you fail the test and are rejected as counterfeit?