Solution:

spoiler

https://gmtex.siri.sh/fs/1/School/Extra/Maths/Qotd%20solutions/2024-06-28_log-base-2-approximation.html

Hint

Hint 2

Solution:

spoiler

https://gmtex.siri.sh/fs/1/School/Extra/Maths/Qotd%20solutions/2024-06-02-alternating_harmonic.html

i main zathura, but okular is a good one as well

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

i pulled the image from a meme channel, so i dont know if its real or not, but at the same time, this below does look like a legit response

i've been doing some 15 minutes of duolingo japanese for almost 10 months now, and i think i know a bit of japanese, and i could vaguely understand lyrics of songs if i stop it and read the text, i think the main issue for some people is that they only do it to "keep the streak", which is the case for a lot of my irl friends, and they barely learnt anything. One of my friend did do a large number of russian lessons daily, and i think he now knows quite a bit of russian (aka, can speak)

i dont think i'll be able to speak japanese in a daily convo in quite a while, cuz im too scared to speak, however im starting to understnad what they are speaking, so its not entirely accurate to say duolingo is pointless, cuz it really depend on ur attitude towards it

also, almost none of the anime kids ive met know any amount of japanese, the two topics couldnt be any more different

multiply by nil

Revanced for youtube, someone even uploaded prepatched apks and ofc newpipe

infinity for reddit, its on fdroid

aliucord for discord, vencord for browser (rip opencord)

ill try it again when it support pulgins

im a vim user, i dont usually put videos players in my text editor

otherwise, i use mpv for desktop

it's only in India tho, but u should look at Ukraine, mf there got it up to 25% :chad:

I expect my Arch desktop to get better day by day

I want minimal breaking for Debian on my Raspberry pi (I keep system apps up to date for security reasons, but I don't update mongoDB or TexLive when it just works)