A Series

Date: Mon, 19 Apr 1999 21:40:05 -0600 (CST)
Sender: Deepak
Subject: series-why they converge

Question:
given the sequence an=e^(-n*Ln(n)), does the series converge and why?

Hi Deepak

Since a*Ln(b) = Ln(b^a) and e^Ln(c) = c, a_n = e^-n*Ln(n) = e^{Ln(n^-n)} = n^-n You should now be able to compare this series to one you already know.

Cheers
Harley

Go to Math Central

To return to the previous page use your browser's back button.