Find a power series representation for the function. (Center your power series representation at x = 0.) 1 9 + x f(x) f(x) = - Σ Determine the interval of convergence. (Enter your answer using interval notation.) = n = 0
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- Find a power series representation for the function. (Give your power series representation centered at x = 0.) 2x2 F(x) D= Determine the interval of convergence. (Enter your answer using interval notation.)12x3 Find the power series for f(x): in the form >. %3D an. (1 – x+)? 2 n=1 3 Hint: First, find the power series for g(x) = Then differentiate. 1- x4 (Express numbers in exact form. Use symbolic notation and fractions where needed.) an %3D8x3 Find the power series for f(x) = in the form an. (1 - x*) n=1 Hint: First, find the power series for g(x) = 2 Then differentiate. 1 – x4 (Express numbers in exact form. Use symbolic notation and fractions where needed.) an =
- Find a power series representation for the function. (Give your power series representation centered at x = 0.) 2 17 + X f(x): = f(x): n = 0 = Determine the interval of convergence. (Enter your answer using interval notation.)Find all values of x for which the series converges. (Enter your answer using interval notation.) X - 6 n = 0 For these values of x, write the sum of the series as a function of x. 1 f(x) = 15 - nFind a power series representation for the function. (Give your power series representation centered atx 0.) 16 4x+2 10 Determine the interval of convergence. (Enter your answer using interval notation.) -2.2
- Use the power series .Σεe 2(-1)"x" to determine a power series, centered at 0, for the function. g(x) x9 + 1 g(x) = Identify the interval of convergence. (Enter your answer using interval notation.)Find a power series representation for the function. (Give your power series representation centered at x = 0.) X - 1 f(x) x + 6 00 f(x) = 1 + n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)