If numbers are infinite then how 1 came after 0(zero)
Answers
Answer:
The response is correct but unhelpful. When people ask about 0.999… they aren’t saying “Hey, could you find the limit of a convergent series under the axioms of the real number system?” (Really? Yes, Really!)
No, there’s a broader, more interesting subtext: What happens when one number gets infinitely close to another?
It’s a rare thing when people wonder about math: let’s use the opportunity! Instead of bluntly offering technical definitions to satisfy some need for rigor, let’s allow ourselves to explore the question.
Here’s my quick summary:
The meaning of 0.999… depends on our assumptions about how numbers behave.
A common assumption is that numbers cannot be “infinitely close” together — they’re either the same, or they’re not. With these rules, 0.999… = 1 since we don’t have a way to represent the difference.
If we allow the idea of “infinitely close numbers”, then yes, 0.999… can be less than 1.
Step-by-step explanation: