Is this close to zeration ?

[tommy1729]

I was thinking about zeration in particular,

x[0]e , e[0]x or the average of those 2.

I wonder if this comes close

exp^[1/2](x) / {exp(x-1)}^[1/2] ~~ x[0]e

or maybe

exp[1/2] ( ln^[1/2](exp^[1/2](x)) - ln^[1/2]({exp(x-1)}^[1/2] ) ) ~~ x[0]e

this last simplifies to

exp[1/2] ( x - ln^[1/2]({exp(x-1)}^[1/2] ) ) ~~ x[0]e


Notice replacing [1/2] with [1] gives e = 1[2]e.

regards

tommy1729