Convergences and Limit Theorems Limits and Orders of Magnitude:A Review Limits and Orders of Magnitude:A Review Definition 1 (7.1).[Limit] Let fon,n=1,2,...}be a sequence of nonstochastic real numbers.If there exists a real number b such that for every real number e>0,there exists a finite integer N(e)such that for all nN(e),we have on-b<e,then b is the limit of the sequence fon,n 1,2,...}. 2) n 十十十十十十十十十十十 n 十 23456789101112131415 23456789101112131415 Convergences and Limit Theorems Introduction to Statistics and Econometrics April 16,2020 3/186Convergences and Limit Theorems Convergences and Limit Theorems Introduction to Statistics and Econometrics April 16, 2020 3/186 Definition 1 (7.1). [Limit] Limits and Orders of Magnitude: A Review Limits and Orders of Magnitude: A Review