4. (a) Find the first five terms of the sequence of partial sums, Sn, for the infinite series: 00 E 2 (2k - 1) (2k + 1) k=1 (b) Make a conjecture about a formula for the sequence of partial sums, Sn. (c) Use the conjecture to propose a limit value for the sequence of partial sums. (d) Give a limit proof based on the limit definition that the sequence of partial sums converges to the value you propose above. (a) First 5 terms