how to show that the sequence $x_{n+1}=\frac{x_n}{2}+\frac{5}{x_n}$, $x_1=2$ is convergent.
I tried to prove using induction that it is bounded but couldn't work it out.
Only thing i could figure out is that the limit of sequence is $\sqrt{10}$ so it is convergent.
Friday, November 6, 2015
convergence of a recursive sequence and calculate the limit
Subscribe to:
Post Comments (Atom)
analysis - Injection, making bijection
I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...
-
So if I have a matrix and I put it into RREF and keep track of the row operations, I can then write it as a product of elementary matrices. ...
-
I am asked to prove the density of irrationals in $\mathbb{R}$. I understand how to do this by proving the density of $\mathbb{Q}$ first, na...
-
Can someone just explain to me the basic process of what is going on here? I understand everything until we start adding 1's then after ...
No comments:
Post a Comment