For the recurrence an=0.5an−1a_n = 0.5a_{n-1}an=0.5an−1 with a0=64a_0 = 64a0=64, what is limn→∞an\lim_{n \to \infty} a_nlimn→∞an?
∞\infty∞
−∞-\infty−∞
000
The limit does not exist