Convergences and Limit Theorems Limits and Orders of Magnitude:A Review Limits and Orders of Magnitude:A Review Example 5 (7.5) Define a function 如=之专一 x<0, 0≤x<1: x≥1. 05 Here,F(x)is neither continuous at 0 nor at 1.This is because for at least one sequence {on}such that on=-,we have bn→b=0,butF(bn)=F(-)=0 for all n≥1，and limn→oF(-)=0≠F(0)=. Convergences and Limit Theorems Introduction to Statistics and Econometrics April 16,2020 11/186Convergences and Limit Theorems Convergences and Limit Theorems Introduction to Statistics and Econometrics April 16, 2020 11/186 Example 5 (7.5) Limits and Orders of Magnitude: A Review Limits and Orders of Magnitude: A Review