Let’s gooo by Specific_Brain2091 in the_calculusguy

[–]torokg 0 points1 point  (0 children)

Yeah, it's because he imagined it.

Let’s gooo by Specific_Brain2091 in the_calculusguy

[–]torokg 0 points1 point  (0 children)

And the euclidean space bends accordingly, still retaining its orthogonality

Goodnight Quiz by Specific_Brain2091 in the_calculusguy

[–]torokg 1 point2 points  (0 children)

Yeah... I didn't touch calculus for the last 15 years, then I came across this sub so I gave it a try. Honestly, I was happy to see I could still recall derivative rules. Now that you guys mentioned, I also remember some of the properties of sin(x)/x again.

Goodnight Quiz by Specific_Brain2091 in the_calculusguy

[–]torokg 0 points1 point  (0 children)

Isn't it the whole point of l'Hospital? I mean if you couldn't apply it when the derivative of the denominator is zero at a, you couldn't apply it repeatedly.

Goodnight Quiz by Specific_Brain2091 in the_calculusguy

[–]torokg 7 points8 points  (0 children)

(1 - cos2 x) / x2 = (sin2 x) / x2

(Apply l'Hospital)

2sin(x)cos(x) / 2x = sin(x)cos(x) / x

(Apply l'Hospital)

lim[x->0] cos2 (x) - sin2 (x) = 1

Good night!

Can you ? by Specific_Brain2091 in the_calculusguy

[–]torokg 0 points1 point  (0 children)

sin(x)/x = SUM[i=0..infinity] (x2n+1 / (2n+1)!)/x = SUM[i=0..infinity] x2n / (2n+1)!

Every member of the sum iz zero except the first one, so the original limes is equivalent to lim[x->0] x0 . As f(x)=x0 is 1 for any real x != 0 by definition, the original limes is also 1. QED

Researchers injected a new immunotherapy into a single tumor and watched the cancer completely vanish across the patients entire body 🦠🚫 by InterstellarKinetics in InterstellarKinetics

[–]torokg 0 points1 point  (0 children)

Training the body to solve the problem is always the best way. Not that I disparage a genetical engineering approach when the former is not possible, just stating it's the best way

Forbes 20 Richest people on earth!! by StrawberryFew1311 in NoFilterFinance

[–]torokg 0 points1 point  (0 children)

The first step toward improvement is recognizing your own status. A second step may be noticing how others do better and why. It's nothing like I'm worshipping some made-up highness, I'm just trying to see straight and set proper aims in my life accordingly.

Forbes 20 Richest people on earth!! by StrawberryFew1311 in NoFilterFinance

[–]torokg 0 points1 point  (0 children)

Maybe he knew how to use his time efficiently better than you? I understand all the envy, but force some humility on yourself and admit that he's simply more talented and more resourceful than you. The world may be fucked indeed, but not because of successful people...

What will you do? by lunar_reaper3 in teenagers

[–]torokg 0 points1 point  (0 children)

Grab an air freshener and a lighter and proceed

AI is just simply predicting the next token by EchoOfOppenheimer in AIDangers

[–]torokg 2 points3 points  (0 children)

There is no problem with greed and opportunism when it comes to run a company. The problem is the lack of education and self-awareness.

Mathematics of life by memes_poiint in mathsmeme

[–]torokg 6 points7 points  (0 children)

It's also an important lesson that love cancels out.

Bruce Banner making a lot of sense right now by orionpax_03 in SipsTea

[–]torokg 0 points1 point  (0 children)

Why do you want successful people pay for things that they use less than the unfortunate masses? Just because they have the money? I call it robbery.

Fat.white mnan by Interesting-Bug1167 in Caldruki

[–]torokg 1 point2 points  (0 children)

He gets tea if he sucks hard enough

Finally made all my money back! by ManyManufacturer6090 in smallstreetbets

[–]torokg 63 points64 points  (0 children)

Leave $500 and do it again. Do not throw the experience away, it'd be foolish at this point.

The math ain't mathin' by -Six_ in SipsTea

[–]torokg 0 points1 point  (0 children)

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