Use term by term differentiation to find the power series for f(x). AnswerCorrectEnteredResultPreviewAnswer4*(n+1)*[x^(4*n+3)]4n+34(п + 1) хcorrect 4(n + 1) x4n+3The answer above is correct.Given thatE x":%3D- Xn=0use term by term differentiationto findthe power series for4x3f(x)centered at x =2= 0.(1 - x+)*The power series representation for f(x) is >n=04n+34(п +1)x'help (formulas)(Hint: A power series must have all nonnegativeintegers as the exponenets for the variable, so youmay need to reindex the power series you find afterdifferentiating.)

Showing power series of function f(x)=4x31-x42 is ∑n=0∞ 4n+1x4n+3 . As we known ∑n=0∞ xn=11-x when…

Given that > x" = 1- x n=0 use term by term differentiation to find the power series for 4x3 f(x) : centered at x = 0. 2 (1 – x+) The power series representation for f(x) is > n=0 4n +3 4(n+1)x help (formulas)

Given that > x" = 1- x n=0 use term by term differentiation to find the power series for 4x3 f(x) : centered at x = 0. 2 (1 – x+) The power series representation for f(x) is > n=0 4n +3 4(n+1)x help (formulas)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Use term by term differentiation to find the power series for f(x).

Answer
Correct
Entered
Result
Preview
Answer
4*(n+1)*
[x^(4*n+3)]
4n+3
4(п + 1) х
correct 4(n + 1) x4n+3
The answer above is correct.
Given that
E x":
%3D
- X
n=0
use term by term differentiation
to find
the power series for
4x3
f(x)
centered at x =
2
= 0.
(1 - x+)*
The power series representation for f(x) is >
n=0
4n+3
4(п +1)x'
help (formulas)
(Hint: A power series must have all nonnegative
integers as the exponenets for the variable, so you
may need to reindex the power series you find after
differentiating.)

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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