File:Tetreal10bx10d.png

Plot of Tetration: $y=\mathrm{tet}_b(x)$ versus $x$ for

$b \rightarrow 1$, (dark green);

$b = 1.1$,

$b = 1.2$,

$b = 1.3$,

$b = 1.4$, (dark green);

$b = \sqrt{2}\approx 1.41$, red;

$b = \exp(1/ \mathrm e) \approx 1.44$, blue;

$b = 1.5$, (dark green);

$b = 1.6$,

$b = 1.7$,

$b = 1.8$,

$b = 1.9$,

$b = 2$,

$b = \mathrm e \approx 2.71$,

$b = 10$, (dark pink);

$b \rightarrow \infty$, (dark pink);.