[Maths]Some questions about infinity

Kimo

1) Whether 1/2^1 + 1/2^2 + 1/2^3 + ...... can written by 1, 1-1/∞ or 1-1/2^∞ ?
2) Is any number divided by 0 equal to ∞ ?
3) Can any number divided by 0 written by ∞ ?
4) If 1 + 2 + 3 + ...... written by ∞ or ∞(∞+1)/2, which is better ?
5) If ∞ power of any whole integer, is it equal to ∞ ?
6) Is 1/∞ = 0 ?

PS. Please give a reason when you answer above questions, thanks.

[ Last edited by Kimo on 2005-11-18 at 09:40 PM ]

抹茶可樂

Those are very incorrect concepts concerning infinity.

∞ cannot be directly added, multiplied or something else.
It is not a number but symbol only.
But we have somthing called limit, which can predict the trend of an expression when a  variable tends to a certain value, but not exactly.