1-2x²=1+x+x²³ 2²-2²-1+2+ -2(-1) (2n + 1)! x²+1 sin x- ---- cos x=(-1). - (2n)! −2+4- 6! tan 'x- (-1): ----4-4--- x- 2n + 1 In(1 - (-1)^²-x n 1. A. Calculate the first three derivatives of f(x) = 1/(2 – 3x] and find the Mac poly of degree 3, P3 (x), of f(x) by the definition of Mac-poly. B. Write the Mac series of f(x) using the summation notation.

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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11-2x
-£x −1+
·1+x+x²
·−1+ + + + +
3!
sin
x-2-1-+-+-
· Σ (-1)* - (2n + 1)!
5! 7!
cos x=(-1)- = 1-
(2n)!
6!
=
x2+1
tan'x- (-1). 2 + 1 - * - - + - + ...
---
In(1 + x) − (−1)²-¹ - x -+-+----
n
1. A. Calculate the first three derivatives of f(x) = 1/(2 – 3x] and find the Mac poly of
degree 3, P3 (x), of f(x) by the definition of Mac-poly.
B. Write the Mac series of f(x) using the summation notation.
-73-2
Transcribed Image Text:11-2x -£x −1+ ·1+x+x² ·−1+ + + + + 3! sin x-2-1-+-+- · Σ (-1)* - (2n + 1)! 5! 7! cos x=(-1)- = 1- (2n)! 6! = x2+1 tan'x- (-1). 2 + 1 - * - - + - + ... --- In(1 + x) − (−1)²-¹ - x -+-+---- n 1. A. Calculate the first three derivatives of f(x) = 1/(2 – 3x] and find the Mac poly of degree 3, P3 (x), of f(x) by the definition of Mac-poly. B. Write the Mac series of f(x) using the summation notation. -73-2
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