Posted by **sarah** on Friday, February 22, 2008 at 12:23am.

true of false

if the sum of asubn from n=1 to infinity converges, and if a is not equal to 0, the the sum of 1/(a sub n) as n goes from 1 to infinity diverges.

- calculus -
**drwls**, Friday, February 22, 2008 at 7:23am
True.

In order for the a subn series to converge, an infinite number of terms past some n value must be <0 , individually. That means there must be an infinite number of terms >0 in the 1/asubn series. Therefore it cannot converge.

## Answer this Question

## Related Questions

- calculus - true of false if the sum of asubn from n=1 to infinity converges, and...
- calculus - TRUE OR FALSE 1. if the lim as n->infinity of a(sub n)=0, then the...
- calculus - true or false: if the sum from n=1 to infinity of a(n) converges, and...
- calculus - true or false- if the sum from n=1 to infinity of a(n) converges and ...
- calculus - true or false- if the sum from n=1 to infinity of a(n) converges and ...
- CALCULUS-URGENT- no one will respond!!! - we know the series from n=0 to ...
- calculus - 2. if the sum from n=1 to infinity of a(sub n) converges and a(sub n...
- CALCULUS-URGENT - we know the series from n=0 to infinity of c(sub n)*3^n ...
- CALCULUS - we know the series from n=0 to infinity of c(sub n)*3^n converges 1...
- calculus - Determine whether the sum from n=1 to infinity of arctan(2n^2/(25n+1...

More Related Questions