The discussion centers on the limits of the expressions 1/N and 1000/N as N approaches infinity, exploring whether they both converge to zero. The scope includes mathematical reasoning and conceptual clarification regarding limits and the treatment of infinity in calculus.
There is some agreement that both limits approach zero; however, there is disagreement regarding the validity of using "1/infinity" as a concept in the discussion.
The discussion highlights a potential misunderstanding of the concept of limits and the treatment of infinity, indicating a need for clarity on these mathematical concepts.
No, the title does not say it all! the limit as N goes to infinity, of 1/N, is NOT the same as "1/infinity"! The latter simply makes no sense. You cannot do arithmetic with "infinity" in the real number system.hassman said:The title says it all:
Do
[tex]\frac{1}{N} =[/tex] and [tex]\frac{1000}{N}[/tex] have limit of zero as N tends to infinity?