# Topic 2 - Attracting fixed points

In the initial example, one fixed point is to a linear function (using the coefficients and ) . Change the value of to see what values yield an attracting fixed point.
Make a conjecture! What condition must be true in order for a fixed point to be an attracting fixed point?
(In order to prove the conjecture, you can use Taylor expansion to make a linear approximation of the function.)

**repelling**and one is**attracting**. Whether a fixed point is attracting or not, depends on the derivative of the function at the fixed point. Change## Discover Resources

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