Use the equation = : x^ for |x| < 1 to expand the function 8 7-x in a power series with center c = 0. n=0 (Use symbolic notation and fractions where needed.) 8 II M8 n=0 Determine the interval of convergence. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*,*). Use the symbol for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed.) 7-x x E Use the equation 1 1 - X = 4 x" for |x| < 1 to expand the function in a power series with center c = 0. 1 - x4 n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed.) + 1 - x4 = M8 n=0 Determine the interval of convergence. (Give your answer as an interval in the form (*,*). Use the symbol for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) xe