Calculus Volume 1

480

Chapter 4 | Applications of Derivatives

4.48 Consider the function F ( x ) = 1 3 x +6. Let x 0 =0 and let x n = F ( x n −1 ) for n ≥2. Find x 1 , x 2 , x 3 , x 4 , x 5 . Make a conjecture about what happens to the list of numbers x 1 , x 2 , x 3 ,… x n ,… as n →∞.

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