# How do you describe the end behavior of #f(x)=x^10-x^9+5x^8#?

##### 1 Answer

Jan 17, 2017

The rate of rise of a function to

#### Explanation:

Also,

The rate of rise of a function to

ln x (x x^2 x^3 ,,,x^10...) e^x

As the derivatives of f, up to the order 10, are 0 at x = 0, the graph is

horizontal, at the 10-tuple point O. I would like to call this 10 as order

of

Definition: If the derivatives of f are the same, up to and inclusive of order m at x = a, with

graph{x^8(x^2-x+5) [-5, 5, -2.5, 2.5]}