1 - ₁ - £x² = 1 + x + x² + X x=0 +++1-23-²² 3! sin x-(-1). cos x=(-1)- -(-1*- 1 - 2 + 1 - 4 - = x-20+1 tan x- - Σ(-1). -- - x -+- + ... -0 2n + 1 In(1 + x) − (−1)²¹-x-+-4 + ··· n Find the Mac series of f(x) by any algebraic method using the above known expansions. Show all algebra. Write the answers in the summation notation. 9. f(x)=xex²-2 10. f(x) = sin(2x³) x² x²0+1 (2n + 1)! = (2n)! +-+

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1 - ₁ - £x² = 1 + x + x² +
X
x=0
+++1-23-²²
3!
sin x-(-1).
cos x=(-1)-
-(-1*-
1 - 2 + 1 - 4 -
=
x-20+1
tan x- - Σ(-1).
--
- x -+- + ...
-0
2n + 1
In(1 + x) −
(−1)²¹-x-+-4 + ···
n
Find the Mac series of f(x) by any algebraic method using the above known
expansions. Show all algebra. Write the answers in the summation notation.
9. f(x)=xex²-2
10. f(x) =
sin(2x³)
x²
x²0+1
(2n + 1)!
=
(2n)!
+-+
Transcribed Image Text:1 - ₁ - £x² = 1 + x + x² + X x=0 +++1-23-²² 3! sin x-(-1). cos x=(-1)- -(-1*- 1 - 2 + 1 - 4 - = x-20+1 tan x- - Σ(-1). -- - x -+- + ... -0 2n + 1 In(1 + x) − (−1)²¹-x-+-4 + ··· n Find the Mac series of f(x) by any algebraic method using the above known expansions. Show all algebra. Write the answers in the summation notation. 9. f(x)=xex²-2 10. f(x) = sin(2x³) x² x²0+1 (2n + 1)! = (2n)! +-+
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