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Champernowne constant - summation and behavior of terms in continued fraction expansion

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#continued-fractions #constants
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How to proof that $\lim_{h \to 0}\frac{e^h-1}{h} = 1$ using the definition $e = \lim_{n \to \infty}(1+\frac{1}{n})^n$?

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#limits #definition #constants
100
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Integration involving multiple constants...

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#integration #definite-integrals #mathematical-physics #constants
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What are the uses of Euler's number $e$?

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#constants
6.1k
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Differential Equations - Arbitrary and fixed constants

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#calculus #ordinary-differential-equations #constants
113
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Determine a constant that satisifies an inequality

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#sequences-and-series #summation #constants
462
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Euler's method to compute the number Napier's constant

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#constants
207
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Examples of other Mills' constants

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#number-theory #prime-numbers #constants
223
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Query with simplifying arbitrary constants

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#ordinary-differential-equations #constants
79
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The general intuition behind scalars

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#constants #associativity
2.4k
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Does the existence of a power of $2$ prime-representing function $\lfloor \alpha^{2^n} \rfloor$ imply Legendre's conjecture to be true?

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#number-theory #elementary-number-theory #reference-request #prime-numbers #constants
401
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Egyptian fraction series for $\frac{99}{70}-\sqrt{2}$

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#sequences-and-series #recurrence-relations #approximation #diophantine-approximation #constants
52
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Analytical Trignometry

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#angle #constants
66
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Values for which this sum can be defined in terms of known constants in a closed form

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#real-analysis #summation #power-series #closed-form #constants
129
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Does this function have a closed form?

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#sequences-and-series #factorial #closed-form #gamma-function #constants

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