Series

[Kawa23]

Hi, i need help with this series:
Sum(n=1/Infinite) = (ln (n+1)-ln (n)) /(10n+1)
I need to know if the series converges or diverges. Thanks!

 

[tkhunny]

What have you tried?
Have you considered properties of logarithms?
Is it really 10n+1 or do you mean [math]10^{n} + 1\;or\;10^{n+1}[/math]?
Is there a useful transformation that can be beneficial?
Do the individual terms vanish?

 

[pka]

Hi, i need help with this series:
Sum(n=1/Infinite) = (ln (n+1)-ln (n)) /(10n+1)
I need to know if the series converges or diverges. Thanks!

We will use \(\displaystyle \log\) for \(\displaystyle \ln\)
Now have a look HERE.