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15
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What is the infimum of this set?

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#sequences-and-series #supremum-and-infimum
100
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Let $C = \{\frac{a}{b}|a\in A, b\in B)$. Prove that $\sup C=\frac{\sup A}{\inf B}$

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#calculus #real-analysis #supremum-and-infimum
417
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Finding whether $\lim\sup x_n >0$

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#sequences-and-series #supremum-and-infimum #limsup-and-liminf
31
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Question referring to $\sup(D)$ and $\inf(D)$, for set $D$.

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#real-analysis #supremum-and-infimum
118
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Convergence in a normed space

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#limits #convergence-divergence #normed-spaces #supremum-and-infimum
463
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Real Analysis - upper and lower bounds

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#real-analysis #supremum-and-infimum #upper-lower-bounds
730
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Inequality for supremums of functions

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#real-analysis #supremum-and-infimum
34
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Existence of a normalized vector, far from proper closed subspace.

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#analysis #normed-spaces #supremum-and-infimum
725
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Find and prove the supremum of the following set: $S=\{\frac{n-1}{n^2+5}:n>1, n\in\Bbb N\}$

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#real-analysis #sequences-and-series #optimization #fractions #supremum-and-infimum
669
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Showing that $\sup f(x)^{2} = (\sup|f(x)|)^2$ for $x \in [x_{i-1}, x_i]$

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#proof-writing #supremum-and-infimum
92
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Does $M:=\{x \in \mathbb{Q}: x^2<7\}$ $M\subseteq\mathbb{R}$ have an infimum, supremum, min, max?

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#supremum-and-infimum
384
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How to prove that the limit of an upper sum equals the integral of a function with these limited definitions?

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#calculus #limits #definite-integrals #supremum-and-infimum #riemann-integration
85
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Rewrite the definition of supremum

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#abstract-algebra #supremum-and-infimum
40
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Two questions concerning series involving the Möbius function and trigonometric functions

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#real-analysis #sequences-and-series #analytic-number-theory #supremum-and-infimum #mobius-function
763
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Let $A$ and $B$ be subsets of $\mathbb{R}$ such that $\sup(A)$ and $\inf(B$) exist and $\sup (A) < 0$

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#real-analysis #supremum-and-infimum

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