Convergences and Limit Theorems Limits and Orders of Magnitude:A Review Limits and Orders of Magnitude:A Review Remarks: An alternative but equivalent definition of continuity: for each given e>0 there exists a 6=(e)such that whenever on-bl 6,we have lg(on)-g(b)<c. When g()is continuous at b,we can write im。g6n）=gibm）=g6). n→oa In other words,the limit of a sequence of values for a continuous function is equal to the value of the function at the limit. Convergences and Limit Theorems Introduction to Statistics and Econometrics April 16,2020 9/186Convergences and Limit Theorems Convergences and Limit Theorems Introduction to Statistics and Econometrics April 16, 2020 9/186 Limits and Orders of Magnitude: A Review Limits and Orders of Magnitude: A Review Remarks: