Ok I tried it:
lim n→∞ (1+(1/n))^n = e (it is written in some theorem)
And rule of nth term test is
If lim n→∞ an ≠0 or if the limit does not exist, then ∞Ʃn=1 an diverges.
My result is 'e' is not equal 0 so, ∞Ʃn=1 an diverges.
My original question :
∞Ʃn=0 an
Is there any...
hello, i have another problem. Could you help me ?
The problem is ;
∞Ʃn=0 (1+1/n)^n
When I use root theorem;
n√((1+1/n)^n) = (1+1/n)
lim n→∞ (1+1/n) = 1
Result is inconclusive so what should I do ?
thanks in advance