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Let's define the terms. Real infinity is quantitative and qualitative infinity, which is more of a philosophical or physical concept. Infinity in the sense of classical mathematical analysis is rather a potentially infinite quantity. Infinity in the sense of non-standard analysis is actually infinitesimal (large). Absolute infinity (according to Cantor) is the Divine essence.
Real infinity is a quantitative and qualitative infinity. In mathematics, there are two main types of infinity: actual and potential. A limit in mathematical analysis can represent actual infinity, and the quantity that tends to it can only be potentially infinite. The cardinality of a potentially infinite set is finite, and the cardinality of an actually infinite set can be either countable or uncountable.
Depends on what you mean by “infinite”. Most likely, you are talking about infinity, which is an element of the extended оси axis of real numbers. It is undoubtedly a limiting value, since it is not used at all without the prefix “tends to”. However, it is not entirely clear what you mean by “real infinity”. If you mean that for�any number�infinity is greater than�its – then yes, this is the same “inverted eight”.
Infinity in mathematics is a model, an abstraction. The same model as parallel lines, the concept of continuity, or imaginary numbers.
And in “real” life, that is, the observable universe, there are no infinities. Everything is finite, both on the time axis and on the space axis. Moreover, everything is discrete, but that's another question.