Question

If 1/2x +1/2(1/2x + 1/2(1/2x +1/2(1/2x + ... = y, then x=?

Answer 1

`y=(1)/(2)x+(1)/(2)\left((1)/(2)x+(1)/(2)\left((1)/(2)x+\ldots \Longleftrightarrow y=(1)/(2)x+(1)/(2)y`

`y=(1)/(2)x+(1)/(2)y\\\\ 2y=x+y\\\\ \boxed{x=y}`