Question

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

Answer 1

you can substitute y into the Left-hand side to get
(1/2)x + (1/2)y= y
which simplifies to x=y
so if y=0, x=0. if y=1, x=1 and so on...

Answer 2

\[1/2x +1/2(1/2x + 1/2(1/2x +1/2(1/2x + ... = x*\sum_{k=1}^{+\infty}1/2^k\]

Answer 3

1/2^k est une série de Rieman qui converge vers 1

Answer 4

donc y=x*1 d'où x=y

Answer 5

\[1/2+1/4+1/8+...+1/2^n=1-1/2^n\]qui tend vers 1 lorsque n tend vers +infinity

Answer 6

Thanks

Answer 7

welcome sorry i wrote it in french, i just realized
you can use google translate, sorry again

Answer 8

I know, my nick name makes you think I am french, right?

Answer 9

hhh kind of yes, i originally speak arabic since i am from morocco

Answer 10

haha :].