Snazz

@Snazz@lemmy.world

• ⁨Comment⁩ on ⁨Panik⁩ ⁨⁨8⁩ ⁨months⁩ ago⁩:

  Because you could argue that the series does converge to …999999

• ⁨Comment⁩ on ⁨Panik⁩ ⁨⁨8⁩ ⁨months⁩ ago⁩:

  You can also prove it a different way if you allow the use of the formula for finding the limit if a geometric series on a non-convergent series.

  Sum(ar^n, n=0, inf) = a/(1-r)

  So …999999 = 9 + 90 + 900 + 9000… = 9x10^0 + 9x10^1 + 9x10^2 + 9x10^3… = Sum(9x10^n, n=0, inf) = 9/(1-10) = -1