User talk:Sandbox/Du Bois-Reymond Constants/Example/First

Proving the inequality (1),(2)

The inequality (1),(2) is clear by looking at the intersection of the graphs $y = x$ and $y = \map \tan x$.

$t_n$ is closer and closer to the lines $\pi/2 + n\pi$

So $\sequence {\size{\map \sin {t_n} } }$ is increasing.

But how to write a proof? --Hbghlyj (talk) 18:04, 25 March 2024 (UTC)

The general expectation is that a contributor will generally tackle a proof when he or she is confident of being able to do so, except when specifically filling in material which appears in a source work, in which case the proof will be left open.

As you appear to be populating $\mathsf{Pr} \infty \mathsf{fWiki}$ with material off the top of your head, the assumption is that you know your way around this area sufficiently as to have authoritative knowledge in that area.

If this is not the case, then you are advised to discontinue this effort, and work on areas where you do. --prime mover (talk) 18:21, 25 March 2024 (UTC)

I posted my proof on StackExchange for verification. --Hbghlyj (talk) 18:50, 25 March 2024 (UTC)