3. Write the series using sigma notation, then determine if the series converges or diverges. If you are able to find the sum of the sequence, find the sum. Show your work. If the sequence is not convergent, state that it is not convergent. Justify your reasoning. 7 10 7 100 + 7 1000 + 7 10000 7 100000 + 7 1000000 +

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. Write the series using sigma notation, then determine if the series converges or diverges. If
you are able to find the sum of the sequence, find the sum. Show your work. If the
sequence is not convergent, state that it is not convergent. Justify your reasoning.
7
7
7
7
7
+
10 100 1000 10000 100000
4. Determine if the series is conditionally convergent, absolutely convergent or divergent.
Justify your reasoning using the methods of the course.
∞
n=2
7
1000000
(−1)n
n²
√n5 + 2n² +5
Transcribed Image Text:3. Write the series using sigma notation, then determine if the series converges or diverges. If you are able to find the sum of the sequence, find the sum. Show your work. If the sequence is not convergent, state that it is not convergent. Justify your reasoning. 7 7 7 7 7 + 10 100 1000 10000 100000 4. Determine if the series is conditionally convergent, absolutely convergent or divergent. Justify your reasoning using the methods of the course. ∞ n=2 7 1000000 (−1)n n² √n5 + 2n² +5
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