PeroK's latest activity

Most people these days would refer that question to an LLM.

Because it makes the mathematics easier.

Hi. I posted a question to the forum and got a lot of good information on how to work on a problem from the MIT general relativity...

We have a theoretical model of white holes. That model is what @Ibix's post was describing. Please be aware that personal speculation...

We have mathematical models, the ones you are relying on when you talk about white holes at all. They look nothing like the FLRW...

How would we even know anything about whiteholes? No one has observed one yet. I will be greatful if you can explain what happens to all...

[Moderator's note: Spun off into a new thread due to topic change.] Is it possible that everything consumed by a black hole is so...

Yes, I went ahead and calculated the limit using Taylor series the other night...it's alot easier this way than trying to simplify...

Here's a solution using Taylor Series: $$\tan x = x + \frac{x^3}{3} + \dots$$$$\sin x = x - \frac{x^3}{6} + \dots$$$$\tan x - \sin x =...

Here's something interesting, and possibly useful: In this case, we needed ##t'''(0)##, where ##t(x) = \tan x##. Note that: $$t'(x) =...

You can apply L'Hopital directly. Let ##t(x) = \tan x## and ##s(x) = \sin x##, then: $$t'(x) = \frac 1 {\cos^2 x}, \ t''(x) =...

It's explicitly a proof by contradiction. But, a specific type of contradiction is to contradict the initial hypothesis. That means that...

Regarding questions 2 and 3, one suggestion is to read Feynman's book on QED:The Strange Theory of Light and Matter. It doesn't cover...

I did see an example of this limit being solved with the substitution you mentioned, and it does make things a bit easier to visualize.

I would have been tempted to try letting ##y = \sin x##. I don't know if that helps.