The power series for the exponential function centered at 0 is e Superscript xequalsSummation from k equals 0 to infinity StartFraction x Superscript k Over k exclamation mark EndFraction , for minusinfinityless thanxless thaninfinity. Find the power series for the following function. Give the interval of convergence for the resulting series. f(x)equals8 x Superscript 9 Baseline e Superscript x Which of the following is the power series representation for f(x)? A. 8 Summation from k equals 0 to infinity StartFraction x Superscript 9 Baseline e Superscript xk Over k exclamation mark EndFraction B. 9 Summation from k equals 0 to infinity StartFraction x Superscript 8 k Over k exclamation mark EndFraction C. 8 Summation from k equals 0 to infinity StartFraction x Superscript k plus 9 Over k exclamation mark EndFraction D. 8 Summation from k equals 0 to infinity StartFraction x Superscript 9 k Over k exclamation mark EndFraction The interval of convergence is nothing. (Simplify your answer. Type your answer in interval notation.)