In 1, 2 and 3 Book of John the word “world” is used liberally and it is not used only for believers but for the whole world and/or all people who live in the world.
1 John 4:9 In this was manifested the love of God toward us, because that God sent his only begotten Son into the world, that we might live through him.
Jesus is the bread of the world and if ANY MAN (anyone) eats of it, he shall live for ever.
John 6:51 I am the living bread which came down from heaven: if any man eat of this bread, he shall live for ever: and the bread that I will give is my flesh, which I will give for the life of the world.
John 8:45 They shall be ALL taught of God. Every man therefore that hath heard, and hath learned of the Father cometh unto me.
It is just like in a classroom where everyone is taught the same thing, but not everyone pays attention and learns. It is our responsibility to listen and learn. If Jesus did not enable all to get life through his death and his blood on the cross then the only alternative would be that God does not want all people to be saved. Some people would then be doomed from the start because Jesus did not die for them. The good news is that God is totally fair and the son of man died for everyone. In a way the atonement is still limited, because only those who repent for their sins and walk in the light with Jesus will get saved.
Below you can see some verses (but far from all that are available) where we can clearly see that Jesus died for all people in the whole world and also that God does not want anyone to perish. Either we can believe this clear description (which also results in a fair and loving God) or we can believe the opposite which makes our Lord and Creator a God of confusion, rather than fair and logical.
Rom. 11:32 For God hath concluded them all in unbelief, that he might have mercy upon all
Acts 17:30 And the times of this ignorance God winked at; but now commandeth all men every where to repent:31Because he hath appointed a day, in the which he will judge the world in righteousness by that man whom he hath ordained; whereof he hath given assurance unto all men, in that he hath raised him from the dead.
2 Pet. 3:9 The Lord is not slack concerning his promise, as some men count slackness; but is longsuffering to us-ward, not willing that any should perish, but that all should come to repentance.
1 Tim. 2:3 For this is good and acceptable in the sight of God our Saviour;4 Who will have all men to be saved, and to come unto the knowledge of the truth.5 For there is one God, and one mediator between God and men, the man Christ Jesus;6 Who gave himself a ransom for all, to be testified in due time.
1 Tim 4:10 For therefore we both labour and suffer reproach, because we trust in the living God, who is the Saviour of all men, specially of those that believe.
John 1:9 That was the true light which lighteth every man that cometh into the world
Luke 19:10 For the Son of man is come to seek and to save that which was lost
Rom. 5:6 For when we were yet without strength, in due time Christ died for the ungodly.7For scarcely for a righteous man will one die: yet peradventure for a good man some would even dare to die. 8But God commendeth his love toward us, in that, while we were yet sinners, Christ died for us.
John 12:46 I am come a light into the world, that whosoever believeth on me should not abide in darkness.47And if any man hear my words, and believe not, I judge him not: for I came not to judge the world, but to save the world. 48He that rejecteth me, and receiveth not my words, hath one that judgeth him: the word that I have spoken, the same shall judge him in the last day.
John 3:14 And as Moses lifted up the serpent in the wilderness, even so must the Son of man be lifted up:15 That whosoever believeth in him should not perish, but have eternal life.16 For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him should not perish, but have everlasting life.17 For God sent not his Son into the world to condemn the world; but that the world through him might be saved.18 He that believeth on him is not condemned: but he that believeth not is condemned already, because he hath not believed in the name of the only begotten Son of God.
1 John 2:2 He is the propitiation for our sins, and not for ours only but also for the sins of the whole world.
John 12:32 And I, if I be lifted up from the earth, will draw all men unto me.
Rom 1:19 Because that which may be known of God is manifest in them; for God hath shewed it unto them. 20For the invisible things of him from the creation of the world are clearly seen, being understood by the things that are made, even his eternal power and Godhead; so that they are without excuse:
John 6:33 For the bread of God is he which cometh down from heaven, and giveth life unto the world. —35And Jesus said unto them, I am the bread of life: he that cometh to me shall never hunger; and he that believeth on me shall never thirst.— 40And this is the will of him that sent me, that every one which seeth the Son, and believeth on him, may have everlasting life: and I will raise him up at the last day— 51I am the living bread which came down from heaven: if any man eat of this bread, he shall live for ever: and the bread that I will give is my flesh, which I will give for the life of the world.
John 10:49 And one of them, named Caiaphas, being the high priest that same year, said unto them, Ye know nothing at all,50 Nor consider that it is expedient for us, that one man should die for the people, and that the whole nation perish not.51 And this spake he not of himself: but being high priest that year, he prophesied that Jesus should die for that nation
Is. 53:6 All of us like sheep have wandered, Each to his own way we have turned, And Jehovah hath caused to meet on him, The punishment of us all. (Young’s literal – compare also with NASB)
2 Cor. 5:14 For the love of Christ constraineth us; because we thus judge, that if one died for all, then were all dead:15 And that he died for all, that they which live should not henceforth live unto themselves, but unto him which died for them, and rose again.
Heb. 2:9 But we see Jesus, who was made a little lower than the angels for the suffering of death, crowned with glory and honour; that he by the grace of God should taste death for every man.
Ez. 18:32 For I have no pleasure in the death of him that dieth, saith the Lord God: wherefore turn yourselves, and live ye.
He died for ALL (1 Tim. 2:6).
He died for ALL MEN (Rom. 5:18; 1 Tim. 4:10).
He died for US ALL, for ALL OF US (Isa. 53:6).
He died for the UNGODLY (Rom. 5:6).
He died for CHRIST-DENIERS (2 Peter 2:1).
He died for SINNERS (Rom. 5:8).
He died for EVERY MAN (Heb. 2:9).
He died for MANY (Matthew 20:28).
He died for the WORLD (John 6:33,51; John 1:29 and John 3:16).
He died for the WHOLE WORLD (1 John 2:2).
He died for the WHOLE NATION of Israel (John 11:50-51).
He died for the CHURCH (Eph. 5:25).
He died for His SHEEP (John 10:11).
He died for ME (Gal. 2:20)