Is 1 divided by infinity equal to zero?

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The discussion centers on whether 1 divided by infinity equals zero, with participants debating the mathematical validity of this expression. It is clarified that while 1/∞ is not a standard computation, the limit of 1/x as x approaches infinity does equal zero. The conversation also touches on concepts of infinity in mathematics, including the extended real line and nonstandard analysis, indicating that infinity is a symbol rather than a number. Misconceptions about adding infinite quantities and the nature of rational numbers are also addressed. Ultimately, the topic highlights the philosophical implications of infinity in mathematics rather than strict mathematical definitions.
  • #31
matt grime said:
I want to cry.

Don't cry Matt. :biggrin:
 
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  • #32
cheer up matt, at least this isn't another 1/0 = 0 thread
 

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