Proof that $ -1 = \infty $ .

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Infinity = -1 paradox

$1+2+4+8+16+\ldots = \infty$

$LHS=1(1+2+4+8+16+\dots)$

$LHS=(2-1)(1+2+4+8+16+\ldots)$

$LHS=(2+4+8+16+32+\ldots)-(1+2+4+8+16+\ldots)$

$LHS=2+4+8+16+32+\ldots-1-2-4-8-16-\ldots$

$LHS=-1$

$\therefore \space -1 = \infty$

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