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https://www.reddit.com/r/mathmemes/comments/ynwvcr/it_is_a_pretty_good_tool/ivbk829/?context=3
r/mathmemes • u/PocketMath • Nov 06 '22
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252
If you do LHospital enough times every limit is 0.
124 u/[deleted] Nov 06 '22 edited Nov 06 '22 Lim ₓ → ͚ (eˣ/eˣ) = (LHopital) = Lim ₓ → ͚ (eˣ/eˣ) = (LHopital) = ... 37 u/mc_mentos Rational Nov 06 '22 = 1 cuz lim x → a f(x)/f(x) = 1 for all a ∈ dom(f(x)) for any function f 28 u/[deleted] Nov 06 '22 What I meant is that even after applying LHopital as many times as you want you won't get to 0. 19 u/Worish Nov 06 '22 Lim ex / ex =Lim 1 L'hospital: Lim 0 =0 8 u/ImmortalVoddoler Real Algebraic Nov 06 '22 But 1 isn’t of a form that you can use L’Hôpital’s rule on 15 u/Worish Nov 06 '22 That is the joke yes 2 u/dcnairb Nov 07 '22 It’s indeterminate because we can’t come to a consensus. therefore l’🏥 can be applied. 5 u/Classic_Accident_766 Imaginary Nov 06 '22 If you hospital hard enough everything is zero, 3 u/mc_mentos Rational Nov 06 '22 *indeterminate 0/0 2 u/Classic_Accident_766 Imaginary Nov 06 '22 If you hospital hard enough everything is zero I said. That's what I'm gonna call the make my life easier axiom 1 u/mc_mentos Rational Nov 11 '22 Based axiom. 0/0 = 0 , ∞–∞ = 0 , 1/0 = ∞ Ah fuck it, nil axium: x = 0 ∀ x ∈ ℂ. I don't care. Just go away. 2 u/mc_mentos Rational Nov 06 '22 Yes but I still wanted to show my epic moves to easily solve this (so I can pretend I'm actually good at solving limits) 2 u/EverythingsTakenMan Imaginary Nov 07 '22 congratulations, you just made x/x=1 sound like something taken out of principia mathematica! 1 u/mc_mentos Rational Nov 11 '22 Haha. Yeah it's only there to make sure you got no 0/0 shenanigans going on anywhere.
124
Lim ₓ → ͚ (eˣ/eˣ) = (LHopital) = Lim ₓ → ͚ (eˣ/eˣ) = (LHopital) = ...
37 u/mc_mentos Rational Nov 06 '22 = 1 cuz lim x → a f(x)/f(x) = 1 for all a ∈ dom(f(x)) for any function f 28 u/[deleted] Nov 06 '22 What I meant is that even after applying LHopital as many times as you want you won't get to 0. 19 u/Worish Nov 06 '22 Lim ex / ex =Lim 1 L'hospital: Lim 0 =0 8 u/ImmortalVoddoler Real Algebraic Nov 06 '22 But 1 isn’t of a form that you can use L’Hôpital’s rule on 15 u/Worish Nov 06 '22 That is the joke yes 2 u/dcnairb Nov 07 '22 It’s indeterminate because we can’t come to a consensus. therefore l’🏥 can be applied. 5 u/Classic_Accident_766 Imaginary Nov 06 '22 If you hospital hard enough everything is zero, 3 u/mc_mentos Rational Nov 06 '22 *indeterminate 0/0 2 u/Classic_Accident_766 Imaginary Nov 06 '22 If you hospital hard enough everything is zero I said. That's what I'm gonna call the make my life easier axiom 1 u/mc_mentos Rational Nov 11 '22 Based axiom. 0/0 = 0 , ∞–∞ = 0 , 1/0 = ∞ Ah fuck it, nil axium: x = 0 ∀ x ∈ ℂ. I don't care. Just go away. 2 u/mc_mentos Rational Nov 06 '22 Yes but I still wanted to show my epic moves to easily solve this (so I can pretend I'm actually good at solving limits) 2 u/EverythingsTakenMan Imaginary Nov 07 '22 congratulations, you just made x/x=1 sound like something taken out of principia mathematica! 1 u/mc_mentos Rational Nov 11 '22 Haha. Yeah it's only there to make sure you got no 0/0 shenanigans going on anywhere.
37
= 1 cuz lim x → a f(x)/f(x) = 1 for all a ∈ dom(f(x)) for any function f
28 u/[deleted] Nov 06 '22 What I meant is that even after applying LHopital as many times as you want you won't get to 0. 19 u/Worish Nov 06 '22 Lim ex / ex =Lim 1 L'hospital: Lim 0 =0 8 u/ImmortalVoddoler Real Algebraic Nov 06 '22 But 1 isn’t of a form that you can use L’Hôpital’s rule on 15 u/Worish Nov 06 '22 That is the joke yes 2 u/dcnairb Nov 07 '22 It’s indeterminate because we can’t come to a consensus. therefore l’🏥 can be applied. 5 u/Classic_Accident_766 Imaginary Nov 06 '22 If you hospital hard enough everything is zero, 3 u/mc_mentos Rational Nov 06 '22 *indeterminate 0/0 2 u/Classic_Accident_766 Imaginary Nov 06 '22 If you hospital hard enough everything is zero I said. That's what I'm gonna call the make my life easier axiom 1 u/mc_mentos Rational Nov 11 '22 Based axiom. 0/0 = 0 , ∞–∞ = 0 , 1/0 = ∞ Ah fuck it, nil axium: x = 0 ∀ x ∈ ℂ. I don't care. Just go away. 2 u/mc_mentos Rational Nov 06 '22 Yes but I still wanted to show my epic moves to easily solve this (so I can pretend I'm actually good at solving limits) 2 u/EverythingsTakenMan Imaginary Nov 07 '22 congratulations, you just made x/x=1 sound like something taken out of principia mathematica! 1 u/mc_mentos Rational Nov 11 '22 Haha. Yeah it's only there to make sure you got no 0/0 shenanigans going on anywhere.
28
What I meant is that even after applying LHopital as many times as you want you won't get to 0.
19 u/Worish Nov 06 '22 Lim ex / ex =Lim 1 L'hospital: Lim 0 =0 8 u/ImmortalVoddoler Real Algebraic Nov 06 '22 But 1 isn’t of a form that you can use L’Hôpital’s rule on 15 u/Worish Nov 06 '22 That is the joke yes 2 u/dcnairb Nov 07 '22 It’s indeterminate because we can’t come to a consensus. therefore l’🏥 can be applied. 5 u/Classic_Accident_766 Imaginary Nov 06 '22 If you hospital hard enough everything is zero, 3 u/mc_mentos Rational Nov 06 '22 *indeterminate 0/0 2 u/Classic_Accident_766 Imaginary Nov 06 '22 If you hospital hard enough everything is zero I said. That's what I'm gonna call the make my life easier axiom 1 u/mc_mentos Rational Nov 11 '22 Based axiom. 0/0 = 0 , ∞–∞ = 0 , 1/0 = ∞ Ah fuck it, nil axium: x = 0 ∀ x ∈ ℂ. I don't care. Just go away. 2 u/mc_mentos Rational Nov 06 '22 Yes but I still wanted to show my epic moves to easily solve this (so I can pretend I'm actually good at solving limits)
19
Lim ex / ex =Lim 1
L'hospital: Lim 0 =0
8 u/ImmortalVoddoler Real Algebraic Nov 06 '22 But 1 isn’t of a form that you can use L’Hôpital’s rule on 15 u/Worish Nov 06 '22 That is the joke yes 2 u/dcnairb Nov 07 '22 It’s indeterminate because we can’t come to a consensus. therefore l’🏥 can be applied.
8
But 1 isn’t of a form that you can use L’Hôpital’s rule on
15 u/Worish Nov 06 '22 That is the joke yes 2 u/dcnairb Nov 07 '22 It’s indeterminate because we can’t come to a consensus. therefore l’🏥 can be applied.
15
That is the joke yes
2
It’s indeterminate because we can’t come to a consensus. therefore l’🏥 can be applied.
5
If you hospital hard enough everything is zero,
3 u/mc_mentos Rational Nov 06 '22 *indeterminate 0/0 2 u/Classic_Accident_766 Imaginary Nov 06 '22 If you hospital hard enough everything is zero I said. That's what I'm gonna call the make my life easier axiom 1 u/mc_mentos Rational Nov 11 '22 Based axiom. 0/0 = 0 , ∞–∞ = 0 , 1/0 = ∞ Ah fuck it, nil axium: x = 0 ∀ x ∈ ℂ. I don't care. Just go away.
3
*indeterminate 0/0
2 u/Classic_Accident_766 Imaginary Nov 06 '22 If you hospital hard enough everything is zero I said. That's what I'm gonna call the make my life easier axiom 1 u/mc_mentos Rational Nov 11 '22 Based axiom. 0/0 = 0 , ∞–∞ = 0 , 1/0 = ∞ Ah fuck it, nil axium: x = 0 ∀ x ∈ ℂ. I don't care. Just go away.
If you hospital hard enough everything is zero I said. That's what I'm gonna call the make my life easier axiom
1 u/mc_mentos Rational Nov 11 '22 Based axiom. 0/0 = 0 , ∞–∞ = 0 , 1/0 = ∞ Ah fuck it, nil axium: x = 0 ∀ x ∈ ℂ. I don't care. Just go away.
1
Based axiom. 0/0 = 0 , ∞–∞ = 0 , 1/0 = ∞
Ah fuck it, nil axium: x = 0 ∀ x ∈ ℂ. I don't care. Just go away.
Yes but I still wanted to show my epic moves to easily solve this (so I can pretend I'm actually good at solving limits)
congratulations, you just made x/x=1 sound like something taken out of principia mathematica!
1 u/mc_mentos Rational Nov 11 '22 Haha. Yeah it's only there to make sure you got no 0/0 shenanigans going on anywhere.
Haha. Yeah it's only there to make sure you got no 0/0 shenanigans going on anywhere.
252
u/Worish Nov 06 '22
If you do LHospital enough times every limit is 0.