I have attached the question I need help, question 5, and really not sure how to go about,

any help / tips appreciated

thank you

Printable View

- Oct 22nd 2013, 03:22 AMTweetycontinued fraction expansion help, / proof
I have attached the question I need help, question 5, and really not sure how to go about,

any help / tips appreciated

thank you - Oct 22nd 2013, 07:24 AMSlipEternalRe: continued fraction expansion help, / proof
Begin with writing out a little bit of the continued fraction:

Now, you are asked to show that . This is obvious. Just replace everything under the top 1 of the continued fraction by y (since it is equal to y).

So, how can you solve the rest of it? Well, solve for . If you multiply everything by , you get . Treat as a constant and you have a quadratic of one variable. Solve for . Then . Just plug in whatever you get as your answer. - Oct 22nd 2013, 12:29 PMTweetyRe: continued fraction expansion help, / proof
thank you, but do you mean replace the first top 1 by y = 1 + 1/y?

- Oct 22nd 2013, 12:35 PMSlipEternalRe: continued fraction expansion help, / proof