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5 hours later…
5:14 AM
@KennyLau Wish granted! Pleasant surprise. =)
 
5:25 AM
Duplicate question that ignores my earlier comprehensive answer. I find this kind of behaviour annoying.
 
5:49 AM
[ SmokeDetector | MS ] Username similar to website in answer: Where is a good source for serious math (wall-size) posters? by math posters on math.SE
 
 
1 hour later…
7:10 AM
@amWhy Wow duplicate post in 20 min! @SimplyBeautifulArt One more delete vote needed.
@SimplyBeautifulArt I kind of disagree. This hint is better (being correct) than the "Draw this and you will see!" nonsense in another answer, which should be downvoted and deleted. Also, this one is totally irrelevant to the question. @amWhy @Did: What do you think?
@Did: For reference, this seems to suggest that deleting answers has never been possible on the SE android app, despite at least 13^2 people wanting it.
 
Did
@user21820 To be honest, I see no good answer here, because I fail to get the question, partly due to the fact that the OP does not explain how they define sine. Katz is of course squarely offtopic, but what to make of the advice to "calculate" the limit? Maybe invoking Taylor (which might be out of the OP's reach though) is the "less bad" option here?
@user21820 OK, thanks or the context.
 
@Did I'm assuming they come across the approximation in a physics text, with the background knowledge that sin is geometrically defined. Still, looking at the series is the way to go, rather than just a limit (hence I also had downvoted the limit answer but didn't state so here in CRUDE because it's subjective).
My subjective reason is that when we say "pretty close" we may not just want sin(x) ≈ x as x → 0. For example sqrt(x)+1 ≈ 1 as x → 0, but if we look at the graph we might say "nah always seems off no matter how close we go". The series though gives higher order terms that show that it's really close.
 
Did
7:28 AM
@user21820 Then Peter Svahn's answer is the one and everything Taylor related or involving the tangent to the graph of sine misses the point, no?
 
@Did No I'm supporting looking at the Taylor series as what I think is the most correct way here.
Just because something is geometrically defined doesn't imply that we can use geometric intuition to explain it. The asker explicitly asked for mathematical reason, so I favour answers that are mathematically correct over intuitively correct.
 
Did
@user21820 ...To answer a query by somebody who probably never saw sine's Taylor series (or they would not be asking this)? Hmmm... I do not know. Maybe you are right?
 
@Did Oh that's what you mean. Well, in my opinion Claude actually gave a good overall answer, because he talked about the tangent, which indeed is close to what I'm saying above, since it excludes the sqrt case. And anyone can plot the relevant functions in a graph software to observe how it looks like.
Basically Taylor series is just the higher-order version, while the tangent approximation is the first-order, and the limit is zeroth-order. Anyway the asker did pick Claude's answer, so he/she must have found it helpful?
 
 
2 hours later…
9:13 AM
Bad ex-HNQ question. It should be closed and deleted.
 
 
3 hours later…
12:40 PM
One more downvote needed on this psq. It seems this asker has yet to learn what is expected from askers, or has ignored, and/or has been carried along by users who couldn't care less about answering PSQ's Also note this asker's earlier question: math.stackexchange.com/questions/2135392/…
@user21820 It's been closed, and I've added a downvote, but it still stands at +1. It needs like four more downvotes for being open for deletion.
@user21820 This same asker asked this PSQ, which needs closure too
 
@amWhy First one closed. Second one is not by the same user, but on its way to closure.
 
1:01 PM
@mixedmath Good morning! (err, afternoon?)
 
@amWhy Good afternoon!
 
@mixedmath Wow! One thing that comes out from this site (and most SE sites, I suspect) is that it reminds us of the "relativity of time", across the world, which I think inches all of us, especially in the US, away from location-centric assumptions.
And that's a very good thing!
@mixedmath I appreciate your intervention and Jyrki's intervention on meta yesterday. And after what followed, I applaud the mods' actions subsequently. I think that's a sentiment widely shared.
Hi! @Jack ! This would be in the earlier half of the afternoon for you, I suspect? Or rather, mid-afternoonish?
 
1:19 PM
@amWhy It... escalated quickly
but thanks for the support
 
2:11 PM
Just stopping in real quickly, but I don't think this is a correct dupe: math.stackexchange.com/q/2454249/272831
 
 
2 hours later…
4:14 PM
Also note the same asker of the "question" above, asked this question yesterday: math.stackexchange.com/questions/2451499/… Both need closure.
 
 
6 hours later…

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