I need help with figuring out how the teacher got xn-2>1/2 and xn-1

3. (5 pts) Suppose that limn-+co In = 1. Prove using the definition of limit (find N for every () that 4In - 1 lim -3. no In - 2 Proof. For any c > 0 we need to find an N E N such that for any n > N 4n - 1 + 3 = 7(In - 1) 0, there is an N E N such that for any n > N In - 2| > 2 And there also exists an N2 E N such that for any n > N Therefore taking N = max { N1, N2} one could get the inequality (t)