In: Advanced Math
Please follow the comment and solve question 6 and question 7 if you want to get thumbs up. Thank you.
6- Let xn ≥0 for all n∈N.
6-1) If xn →0, show that√xn →0.
6-2) If xn →x, show that√xn →√x.
Let A = lim n→∞an. Use an+1 =√2+an, the result of Exercise 6 and
limit laws to prove that A = 2.