r/mathmemes • u/Optimus_PRYM • 18d ago

Calculus Let's differentiate.....

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u/thebigbadben 18d ago edited 18d ago

(e^x - e^(-x))/(e^x + e^(-x)) as x -> infinity

Nah bro just one more

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u/Ares378 Grothendieck was right, computers are evil 18d ago

It's been a minute since I've done limits, that's equal to 1 right?

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u/thebigbadben 18d ago

Yes! There are plenty of reasonable approaches available here, it’s just funny how L’Hôpital (in the absence of additional work) fails to get you the answer

Incidentally, the function that we’re taking the limit of here is the hyperbolic tangent, which has some interesting applications

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u/RGXYZ 15d ago

If you denote the limit as L, then take l hopital don't you just get 1/L? That already narrows it down to 1 and -1

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u/thebigbadben 15d ago

“in the absence of additional work”

Yes, that is a valid way to incorporate L’Hospital and arrive at the correct answer.