Sheet 5

This block of work corresponds to Week 6 (the equivalent of 2 lectures), and is designed for tutorials in Week 7.  It's about Cauchy sequences, series (convergence and absolute convergence), properties of e, and the Alternating Series Test.

The relevant sections of the lecture notes are Sections 26, 27, 28, 29, 30.

For this block of work, from the lecture videos please watch videos 26 (length 14:33), 27 (length 18:14), 28 (length 21:00), 29 (length 27:26), 30 (length 31:42).

The problems sheet is below as a pdf attachment, and is also available as a Sheet 5 Moodle version for those who find that more convenient/accessible.

There are also two optional activities for this block of work: (Sheet 5) Starter - Bolzano-Weierstrass Theorem and (Sheet 5) Pudding - Some sequences and series .