[See Steps] Given that f(x)=(1)/(3-x)=∑_n=0^∞ (1)/(3^n+1) x^n Find the Maclaurin series for g(x)=(1)/((3-x)^2) Write your answer in sigma form.


Question: Given that \(f(x)=\frac{1}{3-x}=\sum_{n=0}^{\infty} \frac{1}{3^{n+1}} x^{n}\)

  1. Find the Maclaurin series for \(g(x)=\frac{1}{(3-x)^{2}}\) Write your answer in sigma form.
  2. Find the Maclaurin series for \(g(x)=\ln (3-x)\) Write your answer in sigma form.

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