7. Consider the telescoping series In k+ k+1 - In k+ 2 (In () – In () Consider Let S, denote the nth partial sum of the series and let a = the following statements about this series. I. S104 = In () – In (OR) 104 S104 = In 105 105 In 106 II. III. lim ak = 0 IV. The series converges to In () V. The series diverges. Select all of the TRUE statements. (a) Statements I, III, IV are TRUE. The rest are FALSE. (b) Statements I,V are TRUE. The rest are FALSE. (c) Statement I, IV are TRUE. The rest are FALSE. (d) Statements II, III, V are TRUE. The rest are FALSE. (e) Statements III, IV are TRUE. The rest are FALSE.
7. Consider the telescoping series In k+ k+1 - In k+ 2 (In () – In () Consider Let S, denote the nth partial sum of the series and let a = the following statements about this series. I. S104 = In () – In (OR) 104 S104 = In 105 105 In 106 II. III. lim ak = 0 IV. The series converges to In () V. The series diverges. Select all of the TRUE statements. (a) Statements I, III, IV are TRUE. The rest are FALSE. (b) Statements I,V are TRUE. The rest are FALSE. (c) Statement I, IV are TRUE. The rest are FALSE. (d) Statements II, III, V are TRUE. The rest are FALSE. (e) Statements III, IV are TRUE. The rest are FALSE.
Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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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Transcribed Image Text:7. Consider the telescoping series
In
k+
k+1
- In
k+ 2
k=1
Let S, denote the nth partial sum of the series and let a =
the following statements about this series.
(In () – In ()) Consider
I.
S104 = In (4) – In ()
104
S104 = In
105
105
In
106
II.
%3D
III.
lim ak
IV.
The series converges to In ()
V.
The series diverges.
Select all of the TRUE statements.
(a) Statements I, III, IV are TRUE.
The rest are FALSE.
(b) Statements I,V are TRUE.
The rest are FALSE.
(c) Statement I, IV are TRUE.
The rest are FALSE.
(d) Statements II, III, V are TRUE.
The rest are FALSE.
(e) Statements III, IV are TRUE.
The rest are FALSE.
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