Which of the following statements is true? Responses The series ∑n=1∞(−1)n+11n√ diverges by the alternating series test. The series the sum, from n equals 1, to infinity, of, open parenthesis, negative 1, close parenthesis, raised to the n plus 1 power, times, the fraction with numerator 1, and denominator the square root of n diverges by the alternating series test. The series ∑n=1∞(−1)n+14n√2+n√ converges by the alternating series test. The series the sum, from n equals 1, to infinity, of, open parenthesis, negative 1, close parenthesis, raised to the n plus 1 power, times, the fraction with numerator 4 times the square root of n, and denominator 2 plus the square root of n, end fraction converges by the alternating series test. The series ∑n=1∞(−1)n+1cos(nπ)n2 converges by the alternating series test. The series the sum, from n equals 1, to infinity, of, open parenthesis, negative 1, close parenthesis, raised to the n plus 1 power, times, the fraction with numerator, the cosine of, open parenthesis, n times pi, close parenthesis, and denominator n squared, end fraction converges by the alternating series test. The series ∑n=1∞(−1)n+14n9+n2 converges by the alternating series test.
Which of the following statements is true? Responses The series ∑n=1∞(−1)n+11n√ diverges by the alternating series test. The series the sum, from n equals 1, to infinity, of, open parenthesis, negative 1, close parenthesis, raised to the n plus 1 power, times, the fraction with numerator 1, and denominator the square root of n diverges by the alternating series test. The series ∑n=1∞(−1)n+14n√2+n√ converges by the alternating series test. The series the sum, from n equals 1, to infinity, of, open parenthesis, negative 1, close parenthesis, raised to the n plus 1 power, times, the fraction with numerator 4 times the square root of n, and denominator 2 plus the square root of n, end fraction converges by the alternating series test. The series ∑n=1∞(−1)n+1cos(nπ)n2 converges by the alternating series test. The series the sum, from n equals 1, to infinity, of, open parenthesis, negative 1, close parenthesis, raised to the n plus 1 power, times, the fraction with numerator, the cosine of, open parenthesis, n times pi, close parenthesis, and denominator n squared, end fraction converges by the alternating series test. The series ∑n=1∞(−1)n+14n9+n2 converges by the alternating series test.
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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Question
Which of the following statements is true?
Responses
The series ∑n=1∞(−1)n+11n√
diverges by the alternating series test.
The series the sum, from n equals 1, to infinity, of, open parenthesis, negative 1, close parenthesis, raised to the n plus 1 power, times, the fraction with numerator 1, and denominator the square root of n diverges by the alternating series test.
The series ∑n=1∞(−1)n+14n√2+n√
converges by the alternating series test.
The series the sum, from n equals 1, to infinity, of, open parenthesis, negative 1, close parenthesis, raised to the n plus 1 power, times, the fraction with numerator 4 times the square root of n, and denominator 2 plus the square root of n, end fraction converges by the alternating series test.
The series ∑n=1∞(−1)n+1cos(nπ)n2
converges by the alternating series test.
The series the sum, from n equals 1, to infinity, of, open parenthesis, negative 1, close parenthesis, raised to the n plus 1 power, times, the fraction with numerator, the cosine of, open parenthesis, n times pi, close parenthesis, and denominator n squared, end fraction converges by the alternating series test.
The series ∑n=1∞(−1)n+14n9+n2
converges by the alternating series test.
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