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Find a power series for the function, centered at c, and determine the interval of convergence. x +1 4x – 7 c) f(x)= 2x2 + 3x – 2 ; c=0 d) -; 2x² + 5x – 3'
Find a power series for the function, centered at c, and determine the interval of convergence. x+1 4x – 7 c) f(x)= ; c= 0 2x2 + 3x – 2 d) f(x)= 2x2 + 5x – 3 ; C = 2
13 . Find a power series for the function f(x)= centered at c=0, and 2x’ - 5x-18' determine its interval of convergence. You may use 1+x+ x² + x +. 1-X
Find a power series for the function, centered at c, and determine the interval of convergence. Find a power series for the function, centered at c, and determine the interval of convergence. (1+3x*) 2 h) f(x)= 3x4 – 5
13 1. Find a power series for the function f(x)=- centered at c=0, and 2x2 - 5x-18' determine its interval of convergence. You may use 1+x+x' +x' +. 1-X
. 11 1. Find a power series for the function f(x) = centered at c=0, and 2x2 - 7x-9 determine its interval of convergence. You may use 3x" =1+ x + x? + x +... = 1 . 1-X
id=490136 Use partial fractions to find a power series representation, centered at 0 of 2 f(x) = x2 – 3x + 2 and then find the interval of convergence. Paragraph ВІ E I
f(x) = (3x)/(1+x) Find a Power Series for f(x), including the radius and interval of convergence, in two separate ways: 1. Constructing it from the sum of a Geometric Series 2. Manipulating a known series
Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = 328 3-x Ax) = Š (C ). n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)
n=0 4. Using the power series cos(x) = { (-1)",2 (-0<x<0), to find a power (2n)! series for the function f(x) = sin(x) sin(3x) and its interval of convergence. 23 Find the power series representation for the function f(2) and its interval (3x - 2) of convergence. 5. +