are you sure about that? I think the series would converge to something like [tex]e^t[/tex], that is if you mean the series [tex]\sum_{0 \leq n} \frac{t^n}{n!}[/tex]i have a sequence an= t^n / (n factorial).
I know that the infinite series of it converges to zero,
if a series converges as you say, then its terms necessarily tend to 0but i need to know if the limit of an goes to zero or not , as n goes to infinity.
Thanks
The series will will sum to e^{t} - all the terms you left out.there is one more thing....
what if i start the sum from 1 or even some random constant k, will the sum of an= t^n / (n factorial) still go to the exponential function as n goes to infinity? i mean if we just consider the tail of the sequence, will the series still go to e^t?
thank you