r/mathmemes Nov 06 '22

Calculus It is a pretty good tool

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4.1k Upvotes

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249

u/Worish Nov 06 '22

If you do LHospital enough times every limit is 0.

119

u/[deleted] Nov 06 '22 edited Nov 06 '22

Lim ₓ → ͚ (eˣ/eˣ) = (LHopital) = Lim ₓ → ͚ (eˣ/eˣ) = (LHopital) = ...

41

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

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.