Question

Calcule "x" em: x+x.x+x.x.x+...=2

Answer 1

Oi Pedro

PG

u1 = x
u2 = x²
u3 = x³

razão

q = u2/u1 = x²/x = x

soma infinita

Sn = u1/(1 - q) 

Sn = x/(1 - x) = 2

x = 2*(1 - x)

x = 2 - 2x

3x = 2

x = 2/3