Finding mclauren series for the following function

[Dell]

i am given the function f(x)=x/(9+x²), i am sasked to find the mclauren series,, what i have done is actually found the 1st 2nd 3rd 4th derivative of the function at x₀=0 and found the regularity,, but i think that i am expected to use one of the given series' and use deformation, the problem is that i cannot find an appropriate series, the best i can find is

1/(1+x) the problem being that i have a 9 instead of a 1 in my denominator,

 

[Cyosis]

If that is the only problem you have then try $9+x^2=9(1+(\frac{x}{3})^2)$.

 

[Dell]

so simple, how didnt i see that ,
thanks