Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. (Enter your answer using interval notation. Round your answer to four decimal places.) f(x) 2 9'2\" x l 7 2x + 2x2 7 %X3 \fFind the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the answer is an interval, enter your answer using interval notation. If the answer is a finite set of values, enter your answers as a comma separated list of values.) f (9\" n: Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the lnterval. If the answer is an interval, enter your answer using interval notation. If the answer is a finite set of values, enter your answers as a comma separated list of values.) i mg)\" I? = D Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the answer is an interval, enter your answer using interval notation. If the answer is a nite set of values, enter your answers as a comma separated list of values.) 2\"\": Vi)\" + 1{X 7 6)\" n n: no Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the answer is an interval, enter your answer using interval notation. If the answer is a finite set of values, enter your answers as a comma separated list of values.) 00 E : nlxn n = 1 (2n)! Write an equivalent series with the index of summation beginning at n = 1. :91)\" + 1(n + 1)x\" 47:0 S Ms 11:1 Find the intervals of convergence of f(x), f'(x), f"(x), and / f(x) dx. (Enter your answer using interval notation. Be sure to check for convergence at the endpoints of the interval.) F( x ) = ( - 1 ) " + 1 ( x - 4 ) " n = 1 n (a) f(x) (b ) f' ( x ) ( c) f" ( x) (d) f ( x ) dx