Taylor Polynomial for f(x)=ln3x

[Nick_273]

Homework Statement

Find the Taylor Polynomial of degree 3 for the function f(x) = ln3x about a = 1/3

Homework Equations

None

The Attempt at a Solution

I have found up to the fourth derivative of f(x) along with the values of the derivatives at x = 1/3.

At this point i get Σ{(-1)^kk!f^k(1/3)}, but am unsure of whether or not this is correct or if I am missing something. Also, not sure of what should go on top of an below the summation symbol...I think its 4 and k=0.

Thanks for your help.

 

[Dick]

Homework Statement

Find the Taylor Polynomial of degree 3 for the function f(x) = ln3x about a = 1/3

Homework Equations

None

The Attempt at a Solution

I have found up to the fourth derivative of f(x) along with the values of the derivatives at x = 1/3.

At this point i get Σ{(-1)^kk!f^k(1/3)}, but am unsure of whether or not this is correct or if I am missing something. Also, not sure of what should go on top of an below the summation symbol...I think its 4 and k=0.

Thanks for your help.

I think the taylor polynomial should be a polynomial. That doesn't look like a polynomial to me.