unbeschränkt
unlimited
Without any boundaries, restrictions, or limits.
Der Vertrag gewährt ihm unbeschränkten Zugang zu allen Firmendaten.
The contract grants him unlimited access to all company data.

unlimited
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unlimited
Without any boundaries, restrictions, or limits.
Der Vertrag gewährt ihm unbeschränkten Zugang zu allen Firmendaten.
The contract grants him unlimited access to all company data.

The word is composed of the prefix 'un-' (not) and 'beschränkt' (limited). 'Beschränkt' is the past participle of 'beschränken' (to limit). 'Unbeschränkt' (unlimited) therefore literally means 'not limited.'
Mit diesem Ticket haben Sie unbeschränkten Zugang zum gesamten Festivalgelände.
With this ticket, you have unlimited access to the entire festival grounds.
Common nouns combined with 'unbeschränkt' (unlimited) include 'Möglichkeiten' (possibilities), 'Zugang' (access), 'Vertrauen' (trust), and 'Macht' (power). It often describes something abstract that has no limits.
Das Internet bietet fast unbeschränkte Möglichkeiten zur Informationssuche.
The internet offers almost unlimited possibilities for searching for information.
In legal and business contexts, the phrase 'unbeschränkt haften' (to have unlimited liability) is very important. It means that someone must cover debts with all of their personal assets.
Bei einer Gesellschaft bürgerlichen Rechts (GbR) haften die Gesellschafter unbeschränkt.
In a civil-law partnership (GbR), the partners have unlimited liability.
This meaning of 'unbeschränkt' (unbounded) is a technical term from mathematics. You can recognize it by the fact that it refers to mathematical objects such as sets, sequences, or functions.
Die Funktion f(x) = x² ist nach unten beschränkt, aber nach oben unbeschränkt.
The function f(x) = x² is bounded below, but unbounded above.
infinite
'unendlich' and 'unbeschränkt' can both express that there is no limit. However, 'unendlich' often means truly without end, for example with time, space, or quantity. It can also be used as a strong exaggeration for 'very'. 'unbeschränkt' is more about no rule, limit, or permission restricting something. The words are easy to confuse because both have to do with boundaries or limits. As a practical rule: 'unendlich' fits something without an end, while 'unbeschränkt' fits something without a restriction.

Mit diesem Ticket kann man den ganzen Tag unbeschränkt Bus und Bahn fahren.
With this ticket, you can ride buses and trains without restriction all day.
Nach dem langen Wandern war ich unendlich müde.
After the long hike, I was incredibly tired.