There are 9 one-digit numbers (1 to 9), 90 two-digit numbers (10 to 99). how many three-digit, four-digit, etc., numbers are there? the first 9 terms of the harmonic series 1 + 1 2 + 1 3 + ···+ 1 9 are all greater than 1 10; similarly consider the next 90 terms, and so

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