(Solved): 2.6 [10 marks] Consider the series n n=1 (n + 1)! Calculate the first four partial sums of this se ...

2.6 [10 marks] Consider the series n n=1 (n + 1)! Calculate the first four partial sums of this series. Do some pattern spotting to come up with a simple function p(n) such that sn = p(n) for n = 1, 2, 3, 4. Assuming that sn = p(n) for all n, show that our series is convergent and evaluate its sum. =