(1) For every natural number n, x" = nx"-1 (you may use the product rule for derivatives and that x = 1) da

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...
Question

Number 1

d
(1) For every natural number n, x"
derivatives and that x = 1)
(2) For every natural number n, one of n – 1, n, or n + 1 is a multiple of 3
(3) For every natural number
(4) For all natural numbers n, 4" – 1 is a multiple of 3
nx"-1 (you may use the product rule for
-
1+3+5+7+
+ (2n – 1) = n²
n,
Transcribed Image Text:d (1) For every natural number n, x" derivatives and that x = 1) (2) For every natural number n, one of n – 1, n, or n + 1 is a multiple of 3 (3) For every natural number (4) For all natural numbers n, 4" – 1 is a multiple of 3 nx"-1 (you may use the product rule for - 1+3+5+7+ + (2n – 1) = n² n,
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