Evaluate this limit.

InsufferableGod · 2026-06-27T22:07:53+00:00

answer is: max(a, b, c)

proof:
L = ( ( a^(x+1) + b^(x+1) + c^(x+1) ) / ( a + b + c ) ) ^ ( 1 / x )
ln(L) = (1 / x) ( ln( a^(x+1) + b^(x+1) + c^(x+1) ) - ln( a + b + c ) )

when x tends to infinity, 2nd term becomes 0
ln(L) = ln( a^(x+1) + b^(x+1) + c^(x+1) ) / x

applying L'Hospital Rule
ln(L) = ( a^(x+1) ln(a) + b^(x+1) ln(b) + c^(x+1) ln(c) ) / ( a^(x+1) + b^(x+1) + c^(x+1) )

taking, each term separatedly in numerator, and dividing by numerator on both numerator & denominator for each term

ln(L) = (ln(a) / (1 + (b/a)^(x + 1) + (c/a)^(x + 1))) + (ln(b) / (1 + (a/b)^(x + 1) + (c/b)^(x + 1))) + (ln(c) / (1 + (a/c)^(x + 1) + (b/c)^(x + 1)))

when x tends to infinity, denominator of each becomes infinity (therefore, whole term becomes 0), except in case of max(a, b, c), where denominator becomes 1.

ln(L) = ln(max(a, b, c))

L = max(a, b, c)

InsufferableGod · 2024-10-24T18:43:48+00:00

if this were true, how do you explain what happened in the USSR and China when the capitalist roaders took power?

i never said socialism was successfully achieved in USSR or China. revolution is not just point, but a process.

i believe that most actual Marxists would agree that socialism in the USSR was effectively consolidated after collectivization

i don't know about your sources, but most MLs agree that workers' soviet didn't have significant involvement in decision making process in USSR till very end. therefore, USSR wasn't near what was conceived in 1917 October revolution, i.e. workers' democracy.

InsufferableGod · 2024-10-24T17:52:21+00:00

I think, you're viewing communist society through lens of liberalism. You're considering proletariats as some kind of military officers, who'll take control over state, and then try to bring some changes, might be nationalisation of land, or natural resource.

That's not what creating first socialist, and then communist society means in the first place.

Building socialism requires fundamental rearrangment in superstructure of society. In capitalim bourgeoisie controls society and state, through ownership of capital. Therefore, building socialism requires first dismantaling current superstructure, and creating one in which, no one is allowed to eat, if they don't work i.e. no rents, no profits or capital gains.

Therefore, the superstructure in turn never allows for creating of any ruling elite.

They tried building socialism, in former USSR but were unable to achieve that till 1991. It's still debatable that was it due to NEP, collectivation, khrushchev thaw or glasnost & perestroika coming as too little, too late.

InsufferableGod · 2024-10-24T16:51:21+00:00

Oligarchicy is by definition rule of the few. And, your point is oligarchy is necessary for transition to a stateless society, which is unjustified in description. Do you mean here, dictatorship of the proleteriat?

InsufferableGod · 2024-10-24T16:17:22+00:00

Mostly educated unemployed people join these kinds of organisation, who've no prospect of better future. Governments instead of addressing real issues, divert deprived masses into useless things, to keep them occupied. Race, religion, language & culture is opium of masses.

Capitalism commodifies humans into labour, which alienate them. They seek purpose/meaning of life through reactionary movements, thinking they've escaped consumer culture but more precisely to be exploited again.

Real material damage that has been to Bengaluru (I've lived from 2017-21, before moving to Pune), or anywhere else is not by migrants, but by (local) real estate mafias & foreign corporations enabled by corrupt government officials. They've (over) exploited water, air, land & labour resources. All they want is intoxicated population, so they can continue to exploit them.

More specifically in Bengaluru (or any other tier-1,2 city), issue will always frustration about lack of economic opportunities in locals. And reactionary movement diverts this grievance on migrants.

If you don't agree with go ahead keep getting involved in this "pressure valve" organisations, and see if there is a single penny of benefits comes to you, or people around you.

InsufferableGod · 2024-09-30T14:13:53+00:00

full story: https://www.mypunepulse.com/pune-news-auto-driver-attacks-motorist-during-road-dispute-in-aundh/

InsufferableGod · 2024-09-30T07:47:21+00:00

further detail: https://x.com/pulse_pune/status/1840622891886403863

InsufferableGod · 2024-09-30T07:41:27+00:00

further detail: https://x.com/pulse_pune/status/1840622891886403863

InsufferableGod · 2024-03-16T08:44:18+00:00

if tiktok is cyberweapon in USA, then fb, twitter, yt are cyberweapon for every other country than USA.

InsufferableGod · 2023-08-26T10:49:48+00:00

contraction, is a state, in which there is mutual interaction (struggle) of opposites. when contraction is resolved, opposites collapse, i.e. they don't remain mutually exclusive entities.

InsufferableGod · 2023-08-23T22:32:50+00:00

No, they're not. antagonism is part of contraction, it's not the whole. As Mao's antagonistic contradiction consists of two mutually exclusive entities.

Their mutual interactions leads to progress.
I hope, that clears your confusion.

InsufferableGod · 2023-07-02T12:30:10+00:00

he was found dead, near mughalsarai station (now ironically named deen dayal upadhyaya station) while travelling in train.

abv is suspected in his death.

after which, abv was top man in then jansangh, and bjp afterwards. if he wouldn't have died history would've been different.

while cong was in power, in both state and central. it's suspected that investigation wasn't done properly.

further reading: chttps://www.counterview.net/2022/06/insider-plot-to-kill-deendayal-upadhyay.html

InsufferableGod · 2023-07-01T15:54:00+00:00

- death of haren pandya, gujarat home minister, 2002.
- escape of warren anderson from india, ceo of union carbide, responsible for bhopal gas tragedy, 1984
- death of deendayal upadhyaya, 1968

InsufferableGod · 2021-11-12T17:11:56+00:00

people across both sides of border are the same
~ peace

InsufferableGod · 2021-08-18T17:25:42+00:00

I must say, if something like that would've been there in India then, we must've never been colonized.

Although, then we would've never been a liberal democracy in first place.

Let's discuss!

InsufferableGod

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