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Infinity is used in a variety of manners. Because it means going on forever, domains and ranges use infinity. For example, the domain and range of the equation y=x are both (-infinity,infinity). In calculus, infinity is commonly used in limits. This is in one of two ways; either the limit can approach infinity, or the number the limit is of can approach infinity. Normal models in statistics also use infinity.
∞ -- Copy and paste this character if you want to use an infinity symbol on your iPhone. There is no infinity symbol available on the standard iPhone keyboard.
1-infinity
Exactly what words you may wish to use in combination with the word infinity, will depend upon what you are trying to say. It would be grammatically acceptable to say something such as "I believe in infinity" although the meaning would be somewhat ambiguous. In most contexts, you would be more likely to use the word to, rather than in. For example, this series of numbers adds up to infinity.
∞ -- Copy and paste this character if you want to use an infinity symbol on your iPhone. There is no infinity symbol available on the standard iPhone keyboard.