1. Let 1 s 1=2s n+1=3 1+ s n for nN . 5 ( ) Prove that the sequence(sn) given below is monotone and bounded. Show how to find the limit algebraically. 2. Use the definition to carefully prove: lim 27 sin ( 2 n ) =0 8 n3 3. Carefully prove: 1 n : r >0, l 4. Carefully prove: 36 n+7 l 12 n+9 =3