- #1

Stephen Tashi

Science Advisor

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## Main Question or Discussion Point

A popular response to a novice asking whether .999... = 1 is for an expert to demand that novice define what the notation ".999..." means. I think this is the best response. However, I note that many experts tend to accept the "..." notation in other contexts without demanding an explanation.

The video points out ambiguities in interpreting the "..." notation.

He points out that Ramanujan's famous proof that

##\sqrt{ 1 + 2 {\sqrt{1 + 3 \sqrt{1 + 4 ...}}}} = 3 ## is invalid.

At 8;15 he points out two different plausible interpretations of infinitely continued fractions.

The video points out ambiguities in interpreting the "..." notation.

He points out that Ramanujan's famous proof that

##\sqrt{ 1 + 2 {\sqrt{1 + 3 \sqrt{1 + 4 ...}}}} = 3 ## is invalid.

At 8;15 he points out two different plausible interpretations of infinitely continued fractions.