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2. Consider the sequence 2,2 + √2,2 + √√2+√√2,2+√√2+√√2+ √2,.... Assuming that the sequence converges, find the limit of this sequence. (Hint: This is a recursive sequence.) 3. Let an be an infinite series, and suppose that its sequence of partial sums is given by (1-1) 2. ∞ SN = n=1 E (b) Σ SN N=1 an (c) lim an n→∞ (d) a3 Find each of the following (or show that they diverge).

2. Consider the sequence 2,2 + √2,2 + √√2+√√2,2+√√2+√√2+ √2,.... Assuming that the sequence converges, find the limit of this sequence. (Hint: This is a recursive sequence.) 3. Let an be an infinite series, and suppose that its sequence of partial sums is given by (1-1) 2. ∞ SN = n=1 E (b) Σ SN N=1 an (c) lim an n→∞ (d) a3 Find each of the following (or show that they diverge).

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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Question 2 and 3 please!
2. Consider the sequence 2,2 + √2,2 + √√2+√√2,2+√√2+√√2 + √2,.... Assuming that the sequence converges, find the limit of this sequence. (Hint: This is a recursive sequence.) 3. Let an be an infinite series, and suppose that its sequence of partial sums is given by 2n (1-1) ²n. Find each of the following (or show that they diverge). SN = (a) ∞ n=1 (b) IF IM IM8 an N=1 SN (c) lim an (d) a3 n→∞
Transcribed Image Text:2. Consider the sequence 2,2 + √2,2 + √√2+√√2,2+√√2+√√2 + √2,.... Assuming that the sequence converges, find the limit of this sequence. (Hint: This is a recursive sequence.) 3. Let an be an infinite series, and suppose that its sequence of partial sums is given by 2n (1-1) ²n. Find each of the following (or show that they diverge). SN = (a) ∞ n=1 (b) IF IM IM8 an N=1 SN (c) lim an (d) a3 n→∞
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