I agree! Thanks! Nevertheless, loking at the last figure of my annex, to your statement:
I should like to add:
"\( \text{srt}^{({N})}(x) \ <\ x^{1/x} \ <\ x \ <\ {}^{({N})}x \ <\ {}^{\infty}x \ \) for all \( x>1 \)"
In fact, the separation of odd/even branches vanishes, for the domain x > 1.
Do you agree? Sorry, I am still not familiar with TeX.
Thank you again.
Gianfranco
Hops, sorry! Last expression to be corrected as follows (Thanks to andydude, 2008-01-14):
"\( \ x^{1/x} \ <{srt}^{({N})}(x) \ <\ x \ <\ {}^{({N})}x \ <\ {}^{\infty}x \ \) for all \( x>1 \)"
GFR
andydude Wrote:Also, a slightly more accurate statement would be \( (\mathbb{N} = \mathbb{Z}^{+}) \):
"\( \text{srt}^{(2\mathbb{N})}(x) \ <\ x^{1/x} \ <\ \text{srt}^{(2\mathbb{N}+1)}(x) \ <\ x \ <\ {}^{(2\mathbb{N}+1)}x \ <\ {}^{\infty}x \ <\ {}^{(2\mathbb{N})}x \) for all \( 0 < x < 1 \)"
I should like to add:
"\( \text{srt}^{({N})}(x) \ <\ x^{1/x} \ <\ x \ <\ {}^{({N})}x \ <\ {}^{\infty}x \ \) for all \( x>1 \)"
In fact, the separation of odd/even branches vanishes, for the domain x > 1.
Do you agree? Sorry, I am still not familiar with TeX.
Thank you again.
Gianfranco
Hops, sorry! Last expression to be corrected as follows (Thanks to andydude, 2008-01-14):
"\( \ x^{1/x} \ <{srt}^{({N})}(x) \ <\ x \ <\ {}^{({N})}x \ <\ {}^{\infty}x \ \) for all \( x>1 \)"
GFR