convergence of 1/n as a sequence, but not as a series, why?
The sequence, 1/n converges to 0 right, because the limit as n-? is 0.
So why does the series of 1/n diverge? Doesn't The sequence's convergence imply that at some point, the series will simply be adding 0's to a finite number?
Re: convergence of 1/n as a sequence, but not as a series, why?
Originally Posted by StudentMCCS
The sequence, 1/n converges to 0 right, because the limit as n-? is 0.
So why does the series of 1/n diverge? Doesn't The sequence's convergence imply that at some point, the series will simply be adding 0's to a finite number?