Convergences and Limit Theorems Limits and Orders of Magnitude:A Review Limits and Orders of Magnitude:A Review Example 3 (7.3) on=(-1)".Then fon,n 1,2,...}is bounded by a constant in the sense that on<M for some constant M>1 and for all n 1.However,its limit does not exist. Solution Set e=.Then there exist no b and N(e)such that for all n >N(e),we can have bn -b<e. Convergences and Limit Theorems Introduction to Statistics and Econometrics April 16,2020 7/186Convergences and Limit Theorems Convergences and Limit Theorems Introduction to Statistics and Econometrics April 16, 2020 7/186 Example 3 (7.3) Limits and Orders of Magnitude: A Review Limits and Orders of Magnitude: A Review Solution