Chapter 10.1, Problem 9E

Interpretation Introduction

Interpretation:

To analyze the map ${\text{x}}_{n+1}\text{ = }\frac{{\text{2x}}_{\text{n}}}{1+{\text{x}}_{\text{n}}}$ for positive and negative values of ${\text{x}}_{\text{n}}$.

Concept Introduction:

• ➢ Determine the fixed points for the given equation and its stability.

• ➢ Plot the graph for the equation and compute numerical values.