Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x f(x) = 1 + ±x+ 4 1+ nx + "(n-1) ,2 + x² 2! п(п - 1) (п — 2) ,3 > 3. 7. 11 · (4n – 5) ↑ 1+ пx + 3! n = 2

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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Use the binomial series to find the Maclaurin series for the function.
f(x) = V1 + x
1
f(x) = 1 + x+
4
п(п —
1+ пх +
- 1) ,2+ n(n– 1)(n– 2) ,3
> 3:7. 11 ….
(4n – 5)
2!
3!
n = 2
Transcribed Image Text:Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x 1 f(x) = 1 + x+ 4 п(п — 1+ пх + - 1) ,2+ n(n– 1)(n– 2) ,3 > 3:7. 11 …. (4n – 5) 2! 3! n = 2
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