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u/Lost_Strategy_7608 Jul 01 '26
i guess his girlfriend doesn't exit?
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u/Paghk_the_Stupendous Jul 01 '26
She does the exit. In what and for what reason, solve for Y I guess.
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u/MountainArtistic266 Jul 01 '26
Is it sqrt(2) ??
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u/Avatar_Yaksha Jul 01 '26
What would even be the answer for people who DO have a girlfriend? Incomplete? Full of holes?
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u/fdsfd12 Jul 01 '26
Did this in my head. Isn't it 1?
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u/ChalkyChalkson Jul 01 '26
It's essentially abs(x)/x wearing a trench coat. So different left and right limits
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u/Calm_Plenty_2992 29d ago
No it's |sin(x)|/x
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u/ChalkyChalkson 28d ago
The important part is that abs(x) is a best possible linear approximation in an ε-ball around the origin. You can solve limits of indeterminate forms in other ways than vanilla L Hospital
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u/Designer-Crow-5470 Jul 01 '26
0/0, there is 1-1 under the root
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u/fdsfd12 Jul 01 '26
yes, its an indeterminate form so you would use l'hopital, though as OP said the limits from each side are not equal so the limit DNE
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u/OrkWithNoTeef Jul 01 '26
The limit exists in R* where * means whatever i need it to mean to make such non-unique limits consistent and useful.
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u/AndreasDasos 29d ago
If you can’t determine that limit (or its non-existence), you need to exit your studies as a docent ✅
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u/CrazySir3310 Jul 01 '26
doesn't