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--- math104-s22:s:jonathanwang [2022/02/03 22:00]
73.162.6.58 [Homework]
+++ math104-s22:s:jonathanwang [2022/04/25 20:00] (current)
jnwang19 [Homework]
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+/3: {{ :math104-s22:s:jonathanwang:hw6.pdf |}}
+/10: {{ :math104-s22:s:jonathanwang:hw7.pdf |}}
+/17: {{ :math104-s22:s:jonathanwang:hw8.pdf |}}
+/7: {{ :math104-s22:s:jonathanwang:hw9.pdf |}}
+/14: {{ :math104-s22:s:jonathanwang:hw10.pdf |}}
+/21: {{ :math104-s22:s:jonathanwang:hw11.pdf |}}
 ====== Questions  ======
-For 11.2.ii, why does  $s_{n_k}$  need to be greater than $\max\{s_{n_{k-1}}, k\} $instead of just$ s_{n_{k-1}}$?
+. For 11.2.ii in Ross, why does  $s_{n_k}$  need to be greater than $\max\{s_{n_{k-1}}, k\} $instead of just$ s_{n_{k-1}}$?
+. Why is 1(7) in [[https://courses.wikinana.org/_media/math104-f21/math_104-mt1.pdf]] false? I thought one could argue  $|a_m - a_n| < \sum \tilde{\epsilon} < \epsilon$
+. Why is 1(9) in [[https://courses.wikinana.org/_media/math104-f21/math_104-mt1.pdf]] false?
+. In Cantor's diagonalization argument, is the reason we can't take the sequence straight downwards because there may be repeated elements?
+. When Prof Zhou showed Cantor's diagonalization argument on 2/15, he produced a monotonically decreasing subsequence. However, I thought in general, although each sequence has a monotonic subsequence, it could be either increasing or decreasing. Thus, was the choice of monotonically decreasing just WLOG?

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