Question

f(n+1)=1/2{f(n)+9/f(n)},n belongs to natural nos. and f(n)>0 for all n belonging to natural nos. then limit n tends to infinity equals to what

Answer 1

if the limit exists, then f(n+1) approaches f(n). call this value x
then x= (1/2) (x+9/x)
2x= x+9/x
x=9/x
x^2= 9
x= sqrt(9)

Answer 2

thank you

Answer 3

f(n)>0 for all n
so it looks like x= +3 is the limit

Answer 4

the answer is correct

Answer 5

@phi-can you help me with a question from complex numbers

Answer 6

?

Answer 7

http://openstudy.com/study#/updates/4f621417e4b079c5c6312ef5
this is the link to the question