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- Thread starter iamqsqsqs
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- #1

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- #2

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There does not even exist a continuous function that does this.

- #3

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- #4

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What would f(0) be?

- #5

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There does not even exist a continuous function that does this.

Last time I checked, [itex]z \mapsto |z|[/itex] was continuous...

iamqsqsqs, try looking at the zeros of f(z) - z^3. Do they form an isolated set of points?

- #6

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Last time I checked [itex]z \mapsto |z|[/itex] was continuous...

*** Last time I checked [itex]\,\,\displaystyle{\left|\frac{1}{n}\right|\neq \frac{1}{n^3}}[/itex] ...

DonAntonio ***

iamqsqsqs, try looking at the zeros of f(z) - z^3. Do they form an isolated set of points?

....

- #7

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Sorry, brain fart. I meant to say [itex]z \mapsto |z|^3[/itex]

- #8

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Sorry, brain fart. I meant to say [itex]z \mapsto |z|^3[/itex]

Hehe...yes, I supposed so. Happens to me all the time. Your answer to look at the zeroes of [itex]\,\,f(z)-z^3\,\,[/itex] pretty much wraps this up, though.

DonAntonio

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