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Forum: Miscellaneous Math 2022-01-31, 14:30
Replies: 19
Views: 1,615
Posted By Dr Sardonicus
00 \lim_{x\rightarrow...

00 \lim_{x\rightarrow 0+}\(e^{\frac{1}{x}}\)^{x^{2}}\;=\;1

00 \lim_{x\rightarrow 0+}\(e^{\frac{1}{x}}\)^{x}\;=\;e

00 \lim_{x\rightarrow 0+}\(e^{\frac{1}{x}}\)^{\sqrt{x}}\;=\;\infty
Forum: Miscellaneous Math 2022-01-31, 01:32
Replies: 19
Views: 1,615
Posted By Dr Sardonicus
I apologize - I should have realized the...

I apologize - I should have realized the exclamation point was the factorial symbol.

Your f(x) is 2 for positive integer x. That's prime, no question.

I don't know about a prize, but you get...
Forum: Miscellaneous Math 2022-01-31, 00:17
Replies: 19
Views: 1,615
Posted By Dr Sardonicus
No prize. Your formula yields the value 1 for x...

No prize. Your formula yields the value 1 for x = positive integer, and 1 is not a prime. A prime number is greater than 1 by definition.

But I like your approach, so in the same spirit, I...
Forum: Miscellaneous Math 2022-01-30, 13:57
Replies: 19
Views: 1,615
Posted By Dr Sardonicus
No. This is not a real claim. You have failed to...

No. This is not a real claim. You have failed to specify what you mean by the following:

"mathematical formula," "find," or "large."

There are any number of "mathematical formulas" for primes;...
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