1 2n 4. Let an = 27-1-2 The convergence (or divergence) of the resulting series, Σn=1 an can be determined by considering it as either a telescoping series or as a geometric series. (a) Determine the convergence (or divergence) of this series by examining it as a telescoping series. (b) Determine the convergence (or divergence) of this series by examining it as a geometric series.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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1
1
4. Let an =
The convergence (or divergence) of the resulting series, n=1an can be
2n-1 2n
determined by considering it as either a telescoping series or as a geometric series.
(a) Determine the convergence (or divergence) of this series by examining it as a telescoping series.
(b) Determine the convergence (or divergence) of this series by examining it as a geometric series.
(c) Are the results of parts (a) and (b) different or the same? Does this make sense or not? Explain.
Transcribed Image Text:1 1 4. Let an = The convergence (or divergence) of the resulting series, n=1an can be 2n-1 2n determined by considering it as either a telescoping series or as a geometric series. (a) Determine the convergence (or divergence) of this series by examining it as a telescoping series. (b) Determine the convergence (or divergence) of this series by examining it as a geometric series. (c) Are the results of parts (a) and (b) different or the same? Does this make sense or not? Explain.
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