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Math
CalculusCalculus10th Edition

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Chapter 9.1, Problem 25E
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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 67E
Problem 68E
Problem 74E
Problem 73E
Problem 71E
Problem 72E
Problem 65E
Problem 66E
Problem 69E
Problem 70E
Problem 75E
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
Problem 83E
Problem 84E
Problem 85E
Problem 86E
Problem 87E
Problem 88E
Problem 89E
Problem 90E
Problem 91E
Problem 92E
Problem 93E
BuyFindarrow_forward

Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095
Textbook Problem

Finding the Limit of a Sequence In Exercises 25-28, use a graphing utility to graph the first 10 terms of the sequence with the given nth term. Use the graph to make an inference about the convergence or divergence of the sequence. Verify your inference analytically and, if the sequence converges, find its limit.

a n = 4 n + 1 n

To determine

To calculate: Graph for the first 10 terms of the sequence using graphing utility, check the convergence or divergence, and the limit of the sequence if it converges.

Explanation

Given: an=4n+1n.

Calculation:

Find first ten terms using the graphing utility:

Step 1:Press ON button.

Step 2:Press Mode and select sequence.

Step 3:Choose y and place the function.

Step 4:Choose window and provide the scaling required.

Step 5:Press on trace button to plot the scatter plot.

From the above graph, it is observed that the plotted values are in a decreasing order but never go to zero. So, the sequence is divergent.

Now, to find the limit of the sequence:

limn→∞an=<

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Chapter 9.1,
Problem 24E
Chapter 9.1,
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P-46ESect-9.10 P-41ESect-9.10 P-42ESect-9.10 P-43ESect-9.10 P-44ESect-9.10 P-47ESect-9.10 P-48ESect-9.10 P-49ESect-9.10 P-50ESect-9.10 P-51ESect-9.10 P-52ESect-9.10 P-53ESect-9.10 P-54ESect-9.10 P-55ESect-9.10 P-56ESect-9.10 P-57ESect-9.10 P-58ESect-9.10 P-59ESect-9.10 P-60ESect-9.10 P-61ESect-9.10 P-62ESect-9.10 P-63ESect-9.10 P-64ESect-9.10 P-65ESect-9.10 P-66ESect-9.10 P-67ESect-9.10 P-68ESect-9.10 P-69ESect-9.10 P-70ESect-9.10 P-71ESect-9.10 P-72ESect-9.10 P-73ESect-9.10 P-74ESect-9.10 P-75ESect-9.10 P-76ESect-9.10 P-77ESect-9.10 P-78ESect-9.10 P-79ESect-9.10 P-80ESect-9.10 P-82ESect-9.10 P-83ESect-9.10 P-84ESect-9.10 P-85ESect-9.10 P-86ESect-9.10 P-87ESect-9.10 P-88ESect-9.10 P-89ESect-9.10 P-90ESect-9.10 P-91ESect-9.10 P-92ESect-9.10 P-93ESect-9.10 P-94ESect-9.10 P-95ESect-9.10 P-96ECh-9 P-1RECh-9 P-2RECh-9 P-3RECh-9 P-4RECh-9 P-5RECh-9 P-6RECh-9 P-7RECh-9 P-8RECh-9 P-9RECh-9 P-10RECh-9 P-14RECh-9 P-11RECh-9 P-15RECh-9 P-13RECh-9 P-12RECh-9 P-16RECh-9 P-17RECh-9 P-18RECh-9 P-19RECh-9 P-20RECh-9 P-21RECh-9 P-22RECh-9 P-23RECh-9 P-24RECh-9 P-25RECh-9 P-26RECh-9 P-27RECh-9 P-28RECh-9 P-29RECh-9 P-30RECh-9 P-31RECh-9 P-32RECh-9 P-33RECh-9 P-34RECh-9 P-35RECh-9 P-36RECh-9 P-37RECh-9 P-38RECh-9 P-40RECh-9 P-39RECh-9 P-41RECh-9 P-42RECh-9 P-43RECh-9 P-44RECh-9 P-45RECh-9 P-46RECh-9 P-47RECh-9 P-48RECh-9 P-49RECh-9 P-50RECh-9 P-51RECh-9 P-52RECh-9 P-53RECh-9 P-54RECh-9 P-55RECh-9 P-56RECh-9 P-57RECh-9 P-58RECh-9 P-59RECh-9 P-60RECh-9 P-61RECh-9 P-62RECh-9 P-65RECh-9 P-63RECh-9 P-64RECh-9 P-66RECh-9 P-67RECh-9 P-68RECh-9 P-69RECh-9 P-70RECh-9 P-72RECh-9 P-71RECh-9 P-73RECh-9 P-74RECh-9 P-75RECh-9 P-76RECh-9 P-77RECh-9 P-78RECh-9 P-79RECh-9 P-80RECh-9 P-81RECh-9 P-82RECh-9 P-83RECh-9 P-84RECh-9 P-85RECh-9 P-86RECh-9 P-87RECh-9 P-88RECh-9 P-89RECh-9 P-90RECh-9 P-91RECh-9 P-92RECh-9 P-93RECh-9 P-94RECh-9 P-95RECh-9 P-96RECh-9 P-97RECh-9 P-98RECh-9 P-99RECh-9 P-100RECh-9 P-101RECh-9 P-102RECh-9 P-103RECh-9 P-104RECh-9 P-105RECh-9 P-106RECh-9 P-107RECh-9 P-108RECh-9 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