# Convergent series

1. Feb 23, 2005

### Nobody1111

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.

Have You got any idea how to solve this problem?

Thanks a lot for help

2. Feb 23, 2005

### NateTG

3. Feb 23, 2005

### matt grime

I'd forgotten I'd proved this result.... I didn't check the dates, but is it exactly one year on? Same course, same homework different year?