Convergences and Limit Theorems Limits and Orders of Magnitude:A Review Limits and Orders of Magnitude:A Review Example 1 (7.1) bn=（-l)r.Then{bn,n=l,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. Convergences and Limit Theorems Introduction to Statistics and Econometrics April 16,2020 5/186Convergences and Limit Theorems Convergences and Limit Theorems Introduction to Statistics and Econometrics April 16, 2020 5/186 Example 1 (7.1) Limits and Orders of Magnitude: A Review Limits and Orders of Magnitude: A Review