any help on getting started would be great. i really don't know where to go with this as i'm useless with limits.
alpha is the golden ration ((1+sqrt5)/2)
f2k etc are part of the fibonacci sequence
prove lim f2k/f2k+1 = 1/alpha
k->infinity
any help on getting started would be great. i really don't know where to go with this as i'm useless with limits.
alpha is the golden ration ((1+sqrt5)/2)
f2k etc are part of the fibonacci sequence
prove lim f2k/f2k+1 = 1/alpha
k->infinity
The Fibonacci sequence can be written as a recurrence relation. Solve that relation for the nth term, and then form the desired ratio and take the limit. Does that give you some ideas?