1
vote
0answers
55 views

A weird infinity problem. [duplicate]

A weird infinity problem. I saw this on youtube but could not understand it: Let us add 1 + 2 + 4 + 8 + 16 + ... up to infinity x=(1+2+4+8+...) = 1(1+2+4+8+...) = (2-1)(1+2+4+8+...) = ...
3
votes
2answers
265 views

Infinity and solution of $x+2=x$

I know that if we divide both sides by $x$ the equation becomes $1+\frac{2}{x}={1} \implies x=\frac{2}{0}$ which is undetermined. According to wolfram alpha $\infty +2=\infty$ , logically speaking ...
15
votes
4answers
3k views

Two paradoxes: $\pi = 2$ and $\sqrt 2 = 2$ [duplicate]

Possible Duplicate: Is value of $\pi = 4$? Can anyone explain how to properly resolve two paradoxes in this YouTube video by James Tanton?
3
votes
0answers
193 views

Proof that $ -1 = \infty $ . [duplicate]

Possible Duplicate: Infinity = -1 paradox $1+2+4+8+16+\ldots = \infty$ $LHS=1(1+2+4+8+16+\dots)$ $LHS=(2-1)(1+2+4+8+16+\ldots)$ $LHS=(2+4+8+16+32+\ldots)-(1+2+4+8+16+\ldots)$ ...
44
votes
7answers
11k views

Infinity = -1 paradox

I puzzled two high school Pre-calc math teachers today with a little proof (maybe not) I found a couple years ago that infinity is equal to -1: Let x equal the geometric series: $1 + 2 + 4 + 8 + 16 ...