economía

Lema:

p = 1·100+(1/1)·1,000 = 1,100€

q = 10·100+(1/10)·1,000 = 1,100€

Lema:

p = 2·100+(1/2)·1,000 = 700€

q = 5·100+(1/5)·1,000 = 700€

Lema:

p = 10^{1}+1,000^{(1/1)} = 1,010€

q = 10^{3}+1,000^{(1/3)} = 1,010€

Lema:

p = 50^{1}+2,500^{(1/1)} = 2,550€

q = 50^{2}+2,500^{(1/2)} = 2,550€

Lema:

x^{n} = x <==> n = 1€

x^{(1/n)} = x <==> n = 1€

Disertación:

x^{n} = x

n·ln(x) = ln(x)

n = 1

Lema:

e^{nx} = e^{x} <==> n = 1€

e^{(1/n)·x} = e^{x} <==> n = 1€

Disertación:

e^{nx} = e^{x}

nx·ln(e) = x·ln(e)

nx = x

n = 1