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Irina Sokolova

Apparently, this user prefers to keep an air of mystery about them.

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  • Member for 4 years, 5 months
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  • Last seen Feb 18 '17 at 18:14

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11 Show that the closure of a set A is the smallest closed set containing A. Nov 3 '16
5 $(a_n)$ is a sequence that converges to a>0. Prove that $\exists \delta \gt 0$ and $M \in \mathbb N$ such that $\forall n \ge M, a_n \ge \delta$. Sep 19 '16
2 Use a generating function to find all postage amounts using a subset of stamps and the number of ways each amount can be formed. Oct 12 '16
1 Prove that two sets A and B with $A \cap B=\emptyset$, $\sup A = \sup B$, $\sup A \notin A$ and $\sup B \notin B$ cannot exist. Jan 26 '17
1 $c_n$ is a shuffling of $a_n$ and $b_n$. Prove that $c_n$ converges iff $a_n$ and $b_n$ converge to the same number. Sep 21 '16
1 Prove the Squeeze Theorem (for limits of sequences). Sep 22 '16
1 Solve the recurrence relation: $h_n=(n+1)h_{n-1}, n \ge 1$, initial value $h_0=2$. Oct 3 '16
0 Prove that all points of an open set are limit points of that set. Nov 3 '16

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