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
yes... fo course if converges to the exponential function.
and i just found a theorem, saying that it makes each term to vanish as well.
thank you though.. i think sometimes i get confuesdif i spend too much time on one topic.
i have a sequence [SIZE="4"]a[SIZE="2"]n= [SIZE="4"]t^n / (n factorial).
I know that the infinite series of it converges to zero, but i need to know if the limit of [SIZE="4"]a[SIZE="2"]n goes to zero or not , as n goes to infinity.
Thanks
I was reading your reply,very helpful.
It is just one thing: how do you know you have to start from a constant for your picard iteration, why not some polynomial for example?
thanks