Find a power series for the function, centered at c. 1 f(x) = C = 3 8-x f(x) = 00 Σ n=0 X Determine the interval of convergence. (Enter your answer using interval notation.) X

P14 Calc II

Use the equation = E x" for |x| < 1 to expand the function , in a power series with centerc = 0. 3-x (Use symbolic notation and fractions where needed.) 00 6. Σ %3D 5 - x 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 o for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed.)