6 questions to ask

Express the sum - x - x+ ... in terms of geometric series (hint: The pattern repeats on groups of 4 terms, so group , a , etc.). n = 0 Now express the sum as a rational function: Question Help: Video B Written Example Message instructor Submit Question Question 2 0/1 pt 20 @ Details Express the series in terms of elementary functions and find the radius of convergence of the sum. Power series P1 (I) and P2(I) are given below. n=1 3n Pi(I) = 1+3x + 9x2 + 27x' +81x + ... P2(I) = 1+7x + 4912 + 343x3 + 2401x* + ... Radius of Convergence: Write the first 5 terms of pi() + p2(I) below, simplifying any like terms. Question Help: [el vid. 1 * + *... Write the series compactly using summation notation: 72= 0 Find the functions to which each series converges to find an expression that represents the (Hint: What transformation was performed upon 1 series?) "1 -x =1+z+z+23 + 2+ ... to P1(x) + p2(x) = Suppose the Maclaurin series f(x) is f(x) = (7 ) x. n=0 Find the Maclaurin series for the following. f'(x) = > n= 1 f(3z) = > 7 = 0 1 . (t ) at - 2x + 87 Use partial fractions to find the power series of the function: (z - 6)(2 + 5) Question Help: Video B Writte First find the Partial Fraction Decomposition. Then rewrite each fraction in the form Submit Question 1 - 2 Now recognize the geometric series with a substitution. Question 4 n=0 If f(x) = >2x" and g(z) = > nx", find the power series of f(x)g(I). n=0 Question Help: [ Vilan D