Please solve the attached question, and please show all work that is needed to get the answer. I am trying to better understand the process/the question.

Thank you. =)

X -, for - 1 x K k =1 convergence of the new series. p(x) = 5x* In (1-x) Which of the following is the power series representation for p(x)? O B. 00 5k X OA. - 4 M E In (1 -(5x) 4 +K) k k = 1 k = 1 OD. 4+k X O C. 4k X -5> - 5 2 k K k = 1 k = 1 Q4 The interval of convergence is (Simplify your answer. Type your answer in interval notation.)