B 1 divided by infinity equals zero (always?)

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1 divided by infinity is not technically zero, as infinity is not a number and cannot be used in division. The expression 1/infinity is a simplification that represents the limit of 1/n as n approaches infinity, which approaches zero but is not equal to zero. This discussion highlights the importance of understanding limits in calculus rather than treating infinity as a numerical value. The concept of dividing by infinity can lead to misunderstandings in mathematics, emphasizing the need for precise notation. Clarifying these concepts is crucial for deeper mathematical learning.
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1/ infinity = 0, but this seems a simplification.
I understand the mathematics that 1 divided by infinity is virtually zero and so equals zero. I look on the internet and that is the answer that I get. Is this a simplification for early mathematics learning and, if I continue, will I find a more complex answer? The reason that I ask is that I find this a simplification that does not sound right. Thank you.
 
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You cannot divide anything by infinity since infinity isn't a number. The notation ##1/\infty =0## is a very sloppy way to write ##\displaystyle{\lim_{n \to \infty}\dfrac{1}{n}=0} ## or whatever else goes to infinity. There is no division by infinity, only the remark that ##\left|\dfrac{1}{n}-0\right|<\varepsilon ## gets arbitrarily small, but not zero.
 
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Thank you (and incidentally, my apologies for not using mathematical notation in my question).
 
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