2 1. Find the power series for f(x) = (1-2x)2 by, first, integrating f(x), second, find the power series for the integral of f(x), and last, differentiating the power series.

What is the power series for f(x)= 2/1+7x ?

Find the power series for the function f(x)=(12x)/(x+1) using the power series for 1/(x+1).

Represent the function 2ln(2−x)2ln⁡(2−x) as a power series (Maclaurin series) f(x)=∑n=0∞cnxn

I just need part B. I got that the power series representation for the function is:   ((-1)^n(x^6n+2))/(8^n+1)

To create a power series for the 1 function f(x): = series for f(x)= (5-x)4 1 (5-x)³' O Differentiate the series for 1 f(x) = (5-x)³ result by -1. O Differentiate the series for 1 f(x) = (5-x)³ result by 3. Differentiate the series for 1 f(x) = (5-x)³ result by 3. O Differentiate the series for 1 f(x) = (5-x)³ result by -3. O Differentiate the series for 1 f(x) = (5-x)³ result by -3. None of these. = from the we could then multiply the then multiply the then divide the then multiply the then divide the 2

Take the power series of f(x) = 1/(1-x) as a starting point and determine the sum of the series