# Topic 2 - Attracting fixed points

Topic:
Limits
In the initial example, one fixed point is 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 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.)