y=ln x, dy/dx= 1/x
as the tangent passes through the origin, the tangent has an equation in the form
y=mx. But m=dy/dx,
. ' . solving simultaneously
ln x=1/x * x
ln x=1
x=e
when x=e, y=1
using (e,1) , m=1/e
y=x/e
I was wondering if a proof such as this is valid:
x^e is less than...