Use the equation = : x^ for |x| < 1 to expand the function 8 7-x...

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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 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