"Він не може жити без віри."

Translation: He cannot live without faith.

[Radoslav123]

In this sentence "can" "not" should be written together, without a space - "cannot". The form with a space should be only used when you want to emphasize the inabilty to do something, e.g.: He can do it and I can not.

[Cosadsa]

Radoslav123 is correct: "cannot" is one word, not two.

[Garry_S]

Both "cannot" and "can not" are acceptable spellings, but the first is much more usual. http://www.oxforddictionaries.com/words/cannot-or-can-not

[Weylin366674]

From the link you provided.

Both cannot and can not are acceptable spellings, but the first is much more usual. You would use can not when the "not" forms part of another construction such as "not only." For example:

These green industries can not only create more jobs, but also promote sustainable development of the land.

[Hatul_Madan]

Приймайте "cannot"!

[UkrAdriani]

Як Ви картинку сюди додали?

[Weylin366674]

Can I translate без віри as without belief?

[Gennady320238]

This sentence looks as it was written by religious person.