olymmath

KöMaL 2014 K403

    How many digits of 8 are there in the decimal form of the sum 0.9+0.99+0.999+⋯+0.999…9⏟2013pieces0.9+0.99+0.999+\dots+0. \underbrace{999\dots 9}_{2013 \rm{pieces}}?

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