In the harmonic series 1+1/2+1/3+1/4+... we omit expressions which contain digit 9 in denominator (so we omit e.g. 1/9, 1/19, 1/94, 1/893, 1/6743090 etc.). Proof that such series is convergent.(adsbygoogle = window.adsbygoogle || []).push({});

Have You got any idea how to solve this problem?

Thanks a lot for help

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# Convergent series

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