 |
| ||
| |||
|
| Math Central | Quandaries & Queries |
|
Use the ratio test to determine if the series is convergent or divergent. 1+1/2^2+1/3^3+1/4^4 I know the general terms are a(n)=1/n^n and a(n+1)=1/(n+1)^(n+1) but I can't simplify r=lim(n->inf.)=n^n/(n+1)^(n+1) |
Betsy,
Don't simplify it, estimate it by something that is a little larger but still goes to zero (or a little smaller but still doesn't go to zero) and that you can simplify.
Good Hunting!
RD
| ||
| ||
| ||
 |
 |
|
Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.