Find the Maclaurin series for the following function

[jorgegalvan93]

Homework Statement

f(x) =ln (1-x^3) / (x^2)

Homework Equations

Using the maclaurin series ln (1 +x) = Ʃ (-1)^(n-1) (x^n)/(n)

The Attempt at a Solution

the maclaurin series for the function i get is [(-1)^(2n-1) (x)^(n)] / (n)
however, the answer according to my prof is [(-1)^(2n-1) (x)^(3n-2)] / (n)
How?

 

[SammyS]

Homework Statement

f(x) =ln (1-x^3) / (x^2)

Homework Equations

Using the maclaurin series ln (1 +x) = Ʃ (-1)^(n-1) (x^n)/(n)

The Attempt at a Solution

the maclaurin series for the function i get is [(-1)^(2n-1) (x)^(n)] / (n)
however, the answer according to my prof is [(-1)^(2n-1) (x)^(3n-2)] / (n)
How?

How about showing your steps ?

What is the Maclaurin series for ln(1-x) ?

Then what is the Maclaurin series for ln(1-x³) ?