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Tryss

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Answers (520)

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28	Hard combinatorics and probability question.
16	Is there a set non-countable around zero but countable elsewhere?
14	Evaluating $\lim_{n \to +\infty}\frac{1}{n}\left({\frac{n}{n+1} + \frac{n}{n+2} + \cdots + \frac{n}{2n}}\right)$
11	Prove that $ { a }^{ 2 }+2ab+{ b }^{ 2}\ge 0$ without using $(a+b) ^{ 2 }$
10	find the value of $f'(5)$ for given function

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+10	Show that the counting measure has no Lebesgue decomposition.
+10	Convergence of functions in norm and pointwise
+10	$f \in \mathcal{C}_{0}(X) \Rightarrow \sup_{x \in X} \|f(x)\| = \max_{x \in X} \|f(x)\|$
+10	Integral of the product of a function and its derivative.

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Questions (7)

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5	Continuum hypothesis : Number of connected components of $A^c$ in $\Bbb R$
3	Does it always exist an infinite subset of sequences that satisfy this property?
3	Proof that a sequence of set has a set dense somewhere in $[a,b]$
2	Existence of an uncountable set of sequence
1	Does it exist a countable set such that any sequence with value in $\mathbb{N}$ is bounded by a sequence in this set?

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Tags (237)

223 real-analysis × 123	78 integration × 39
172 calculus × 69	71 general-topology × 29
83 analysis × 43	62 linear-algebra × 32
81 sequences-and-series × 41	62 probability × 24
79 functional-analysis × 55	47 functions × 24

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