Calculate the limits of the sequences:
A)
Lim(n→+∞) nCos(n!)/(nē+1)
B)
Lim(n→+∞) f(n) , where:
f(1)=√2
f(2)=√2√2
f(3)=√2√2√2 ,....
Under the hypothesis that the second sequence is...
(1)
... the difference equation that defines the sequence is...
(2)
The function is illustrated here...
It has a single 'attractive fixed point' in and because is , any 'initial value' will produce a sequence converging at 2 without oscillations...
Kind regards