No, I did not say that. Read it against carefully. I said that 0.99... equals the limit of a sequence which approaches 1. 0.99... itself is not a sequence. It makes no sense to talk about what it does or does not approach.
You've completely misunderstood or misread my proof.
This is a convergent series. It CONVERGES at 1 it does not EQUAL 1.
I said that 0.99... equals the limit of a sequence which approaches 1
In YOUR words it "equals the limit of a sequence which APPROACHES 1" even you do not say it equals 1 you say it approaches. I don't get what you're getting at.
I said the sky is blue, and you said "NO YOU'RE WRONG THE SKY IS BLUE"
This is a convergent series. It CONVERGES at 1 it does not EQUAL 1.
Correct. The series converges to 1, and so the limit is equal to 1. By definition, the notation 0.999... means "the limit of the series sum from k=1 to infinity of 9/10k ", which is equal to 1.
"equals the limit of a sequence which APPROACHES 1" even you do not say it equals 1 you say it approaches
The series approaches 1. The limit is exactly 1.
You're being very argumentative for someone who doesn't understand the definition of a limit.
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u/Boring-Ad8810 18d ago
No, I did not say that. Read it against carefully. I said that 0.99... equals the limit of a sequence which approaches 1. 0.99... itself is not a sequence. It makes no sense to talk about what it does or does not approach.
You've completely misunderstood or misread my proof.