Problem 1 (10 marks) Determine whether the following sequences converge or diverge. If the sequence converges, nd its limit. (a) [3 marks] 5,, = 0'5: n-Js'. (b) [3 marks] 5,, =3. (c) [4m1sn = Vln2+1 n. Hint: it may be helpful! to multiply top and bottom by the conjugate \\3 + l + n