because I have never heard of this argument before, ever. most media’s stance on politics is “their party bad our party good”, but the “all the parties are pretty hypocritical” argument has never been explored properly, because its depressing and nobody likes it.
yup thats the intended solution, im not really familiar with taylor series yet, but maybe for a person who knows taylor series would be able to see it right away
Hint
The solution I have in mind is related to the Taylor series
Hint 2
It converges to -ln(2), but why
Solution:
i main zathura, but okular is a good one as well
Here’s a rly cool solution from stackexchange, which blows my average geometric solution out of the water
I’ve shown that ln(n/n-1) is always larger than 1/n, so Σln(n/n-1) for all natural number n will be larger than the series 1+1/2+1/3+…
but I don’t know how to make sure the sum of all ln(p/p-1) only when p is prime is larger than the provided series
the question is strongly suggesting its divergent, i just dont know how to show it
Hint:
It is not a telescoping series
Solution:
i thought the “default” counter example is y=|x| lol
i got the answers, but i dont really know why
Solution (starter question):
Please refer to the main post, if you don’t like looking at the image. https://gmtex.siri.sh/fs/1/School/Extra/Maths/Unsolved/1d-gravity.html
For the main question, you are encouraged to share your progress
You might be able to solve this with differential equations, or by solving the iterative functions, I dont know
i added the solution to the post, i didnt see the multiplication before someone mentioned it, but yeah if we put it to the power of e it will telescope again, which is clearly the main character of this sub at this point (jk)
deleted by creator
Hint:
e
Solution:
zkfcfbzr solved it
i put everything into ln because i was scared of multiplication
i showed the question to my friend who isnt particularly bright in maths, he said 30 by just looking at it, i freaked out a bit but it might just have been a lucky guess
i got it, no calculator needed
https://gmtex.siri.sh/fs/1/School/Extra/Maths/Challenges solutions/log-5and6.html
that is simply genius
(i suppose it didnt come to me when i think of “irrational”)
Hint:
spoiler
The size of a set is the number of possible values that an element can take.