If and . Then

My Solution::

Then

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- January 14th 2012, 12:31 AMjackslimit with composite function
If and . Then

My Solution::

Then

.................................................. .......

.................................................. ...

- January 14th 2012, 12:59 AMsbhatnagarRe: limit with composite function
and

taking y=g(x)

- January 15th 2012, 06:34 AMjacksRe: limit with composite function
But Sir Here why we discard other root

- January 15th 2012, 07:28 AMsbhatnagarRe: limit with composite function
I discarded the other root because , g(x) is clearly positive...

- January 15th 2012, 08:58 AMOpalgRe: limit with composite function
For a slightly different way of looking at it, you might notice that the n'th iterate is given by where is the n'th Fibonacci number. This is given by the formula where and But , and so as Thus for large values of n, and therefore