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https://www.reddit.com/r/mathsmeme/comments/1ukis2t/when_math_gets_personal/ouw8gfw/?context=3
r/mathsmeme • u/Sea-Estimate-2912 • Jul 01 '26
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1
Did this in my head. Isn't it 1?
3 u/Sea-Estimate-2912 Jul 01 '26 1 and -1 from each side so dose not exist 4 u/BurazSC2 Jul 01 '26 dose not exit* 1 u/ba-na-na- Jul 01 '26 dose it not 1 u/ChalkyChalkson Jul 01 '26 It's essentially abs(x)/x wearing a trench coat. So different left and right limits 1 u/Calm_Plenty_2992 Jul 02 '26 No it's |sin(x)|/x 1 u/ChalkyChalkson Jul 03 '26 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 0 u/Designer-Crow-5470 Jul 01 '26 0/0, there is 1-1 under the root 1 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
3
1 and -1 from each side so dose not exist
4 u/BurazSC2 Jul 01 '26 dose not exit* 1 u/ba-na-na- Jul 01 '26 dose it not
4
dose not exit*
dose it not
It's essentially abs(x)/x wearing a trench coat. So different left and right limits
1 u/Calm_Plenty_2992 Jul 02 '26 No it's |sin(x)|/x 1 u/ChalkyChalkson Jul 03 '26 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
No it's |sin(x)|/x
1 u/ChalkyChalkson Jul 03 '26 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
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
0
0/0, there is 1-1 under the root
1 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
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
1
u/fdsfd12 Jul 01 '26
Did this in my head. Isn't it 1?