Convergences and Limit Theorems Limits and Orders of Magnitude:A Review Limits and Orders of Magnitude:A Review Remarks: ◆When{bn}converges to b as n→o,we write bm→basm→o, or lim on =b. m→o∞ The constant e>0 can be set to be arbitrarily small. The smaller e is,the larger N(e)will be.One can inter- pret e as a prespecified tolerance level for the discrep- ancy between bn and b. Convergences and Limit Theorems Introduction to Statistics and Econometrics April 16,2020 4/186Convergences and Limit Theorems Convergences and Limit Theorems Introduction to Statistics and Econometrics April 16, 2020 4/186 Limits and Orders of Magnitude: A Review Limits and Orders of Magnitude: A Review Remarks: