Update chapter2-4.tex #76
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2.4.7 (b) Changed liminf(a_n) from lim(z_n) to lim(x_n), for consistency and to line up with my changes to (d).
(d) Original proof was not biconditional and lacked some details; added a full proof. Before committing make sure to check that you agree with my choice of N in the first part.