We know that:
$$\frac 1{2!}+\frac 1{3!}+\frac 1{4!}+\frac 1{5!}+\frac 1{6!}+\cdots =e-2\approx0.71828$$
But I am getting the above sum as $1,$ as shown below:
\begin{align}
S & = \frac 1{2!}+\frac 1{3!}+\frac 1{4!}+\frac 1{5!}+\frac 1{6!}+\cdots \\[10pt]
& = \frac 1{2!} + \frac {3-2}{3!} +\fra...11
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The list of proposals on the 2016 thread that are still open:
Proposal to rename the "adjoint" tag
Proposal to join the "chaos theory" and "chaotic systems" tags
Proposal to change the name of the "divisors" tag
Proposal to make the "compactification" tag a synonym of the "compactness" tag
Pr...
Please merge chaotic-systems and chaos-theory. I am active in these tags and the respective field and I fail to see a meaningful difference between them, let alone a need for a distinction.
This already got 10 upvotes last year.
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I propose creating relation-composition tag and making it a synonym of function-composition. I think that if composition of functions is important enough to have its own tag, then so is composition of relations. But it would probably be better to have both topics under the same tag.
We definitel...
1
In mathematics, the Lerch zeta function, sometimes called the Hurwitz–Lerch zeta-function, is a special function that generalizes the Hurwitz zeta function and the polylogarithm. It is named after the Czech mathematician Mathias Lerch [1].
== Definition ==
The Lerch zeta function is given by
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