Christ offered Salvation to all, even Judas. But only those who accept His offer of Salvation by their own free will in response to His Grace will actually be saved. One can choose to go to Hell by rejecting Grace. Or one can accept Grace and be saved.
But if Limited Atonement were true, then if Christ didn't die for you, there's actually nothing you can do about the fact that God positively predestined you to Eternal Torture in Hell when He created you, and He passed over dying for you on the Cross. Is that the God of the Bible, a God of Infinite Love? No, it is man's creation. Just imagine the torture you would feel if you knew Christ didn't die for you. And what applies to you applies to everyone. Christ died for everyone and made the salvation of everyone who wants to accept His offer possible. Therefore, if any refuse to be saved, it is their fault, not God's. But Limited Atonement comes close to making it out to be God's fault that people go to Hell, because God never gave them the chance/opportunity/possibility to be saved. It is a false doctrine and many Bible passages clearly teach against it.