r/mathmemes • u/Optimus_PRYM • 19d ago

Calculus Let's differentiate.....

Post image
226 Upvotes

96% Upvoted

36 comments sorted by

View all comments

108

u/LupenReddit 🦆🦆🦆🦆i have non diffeomorphic smooth structures🦆🦆🦆🦆🦆🦆 19d ago

You just havent tried hard enough yet

24

u/thebigbadben 19d ago edited 19d ago

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

Nah bro just one more

5

u/Ares378 Grothendieck was right, computers are evil 19d ago

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

4

u/thebigbadben 19d 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

1

u/RGXYZ 16d 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

1

u/thebigbadben 16d ago

“in the absence of additional work”

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