MUMS Competition Maths Catchup
7/09/2022 - 7/09/2022 5:30pm - 7:30pm
Peter Hall Building G14
Mathematics & Statistics Society
Let x_0, x_1, x_2 ... be the sequence such that x_0 = 1 and for n >= 0, x_(n+1) = log(exp(x_n) - x_n).Show that the infinite series x_0 + x_1 + x_2 + ... converges, and find its sum.
(Putnam 2016 B1)
Do you have absolutely no idea how to solve this problem? If so be sure to check out our Competition Maths Catchup to find how!We will teach you the very basics of analysis needed to tackle these sorts of problems- and provide a neat cheat sheet of commonly used theorems.
Come down to Peter Hall G14 on Wednesday 7th September 5:30pm, and enjoy some free cookies and muffins under the guise of solving competition problems together. You may just learn a trick or two.Whether you’re vaguely curious or a seasoned brainteaser veteran, come down and enjoy this problem solving evening with us!