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2 (α) Σ 4n² - 1 n=1

2 (α) Σ 4n² - 1 n=1

Calculus: Early Transcendentals
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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#3 part D

(d) lim ne-n² 818 (g) lim (√√n² +n− √√n²+1) 810 ∞ (2) Σ n=0 (d) Σ n=1 2 4n² - 1 ANSWERS. (a) 12 (e) lim 81x ANSWERS. (a) // (b) 0 (c) 1 (d) 0 (e) ∞ (f) 0 (g) 1/1/2 3. Determine whether the series converges or diverges. If it converges, find its sum. 3n+1 ∞ ∞ (b) 5n 4n (c) Σ(-1)"-1 3n-1 ANSWER. (h) lim 16 11 n=0 n (Inn)2 2n n→∞ n! (-3)^ 5n+1 n (e) Ein " (2+1) n=1 (b) / (e)-o, divergent 4. Write the repeating decimal 1.45 = 1.4545454545 as a quotient of two integers (c) divergent (d) 1 (f) lim 81x ... (-1)" √n n+1 n=1 (h 5. Determine whether the series converges or diverges. Give reasons for your answer. 1
Transcribed Image Text:(d) lim ne-n² 818 (g) lim (√√n² +n− √√n²+1) 810 ∞ (2) Σ n=0 (d) Σ n=1 2 4n² - 1 ANSWERS. (a) 12 (e) lim 81x ANSWERS. (a) // (b) 0 (c) 1 (d) 0 (e) ∞ (f) 0 (g) 1/1/2 3. Determine whether the series converges or diverges. If it converges, find its sum. 3n+1 ∞ ∞ (b) 5n 4n (c) Σ(-1)"-1 3n-1 ANSWER. (h) lim 16 11 n=0 n (Inn)2 2n n→∞ n! (-3)^ 5n+1 n (e) Ein " (2+1) n=1 (b) / (e)-o, divergent 4. Write the repeating decimal 1.45 = 1.4545454545 as a quotient of two integers (c) divergent (d) 1 (f) lim 81x ... (-1)" √n n+1 n=1 (h 5. Determine whether the series converges or diverges. Give reasons for your answer. 1
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