APPLIED CALCULUS-PRINT COMPANION (LL)
6th Edition
ISBN: 9781119275565
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 10.3, Problem 12P
To determine
Estimate how long natural gas reserves will last if consumption continues to increases at 0.4% per year.
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Each of the following statements is an attempt to show that a given series is convergent or
divergent using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C
(for "correct") if the argument is valid, or enter | (for "incorrect") if any part of the argument is
flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.)
☐ 1. For all n > 1,
seriesΣ In(n)
In(n)
converges.
2, 1,
arctan(n)
the series arctan(n)
n³
☐ 4. For all n > 1,
123
converges.
1
n ln(n)
series In(n) diverges.
2n
.
and the seriesΣconverges, so by the Comparison Test,
2, 3, and the series converges, so by the Comparison Test, the
series-3
1
converges.
☐ 6. For all n > 2, In(n) >, and the series Σ converges, so by the Comparison Test, the
seriesΣ
In(n) converges.
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Chapter 10 Solutions
APPLIED CALCULUS-PRINT COMPANION (LL)
Ch. 10.1 - Prob. 1PCh. 10.1 - Prob. 2PCh. 10.1 - Prob. 3PCh. 10.1 - Prob. 4PCh. 10.1 - Prob. 5PCh. 10.1 - Prob. 6PCh. 10.1 - Prob. 7PCh. 10.1 - Prob. 8PCh. 10.1 - Prob. 9PCh. 10.1 - Prob. 10P
Ch. 10.1 - Prob. 11PCh. 10.1 - Prob. 12PCh. 10.1 - Prob. 13PCh. 10.1 - Prob. 14PCh. 10.1 - Prob. 15PCh. 10.1 - Prob. 16PCh. 10.1 - Prob. 17PCh. 10.1 - Prob. 18PCh. 10.1 - Prob. 19PCh. 10.1 - Prob. 20PCh. 10.1 - Prob. 21PCh. 10.1 - Prob. 22PCh. 10.1 - Prob. 23PCh. 10.1 - Prob. 24PCh. 10.1 - Prob. 25PCh. 10.1 - Prob. 26PCh. 10.1 - Prob. 27PCh. 10.1 - Prob. 28PCh. 10.1 - Prob. 29PCh. 10.1 - Prob. 30PCh. 10.2 - Prob. 1PCh. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.2 - Prob. 7PCh. 10.2 - Prob. 8PCh. 10.2 - Prob. 9PCh. 10.2 - Prob. 10PCh. 10.2 - Prob. 11PCh. 10.2 - Prob. 12PCh. 10.2 - Prob. 13PCh. 10.2 - Prob. 14PCh. 10.2 - Prob. 15PCh. 10.2 - Prob. 16PCh. 10.2 - Prob. 17PCh. 10.2 - Prob. 18PCh. 10.2 - Prob. 19PCh. 10.2 - Prob. 20PCh. 10.3 - Prob. 1PCh. 10.3 - Prob. 2PCh. 10.3 - Prob. 3PCh. 10.3 - Prob. 4PCh. 10.3 - Prob. 5PCh. 10.3 - Prob. 6PCh. 10.3 - Prob. 7PCh. 10.3 - Prob. 8PCh. 10.3 - Prob. 9PCh. 10.3 - Prob. 10PCh. 10.3 - Prob. 11PCh. 10.3 - Prob. 12PCh. 10.3 - Prob. 13PCh. 10.3 - Prob. 14PCh. 10.3 - Prob. 15PCh. 10.3 - Prob. 16PCh. 10.3 - Prob. 17PCh. 10.3 - Prob. 18PCh. 10.3 - Prob. 19PCh. 10.3 - Prob. 20PCh. 10 - Prob. 1SYUCh. 10 - Prob. 2SYUCh. 10 - Prob. 3SYUCh. 10 - Prob. 4SYUCh. 10 - Prob. 5SYUCh. 10 - Prob. 6SYUCh. 10 - Prob. 7SYUCh. 10 - Prob. 8SYUCh. 10 - Prob. 9SYUCh. 10 - Prob. 10SYUCh. 10 - Prob. 11SYUCh. 10 - Prob. 12SYUCh. 10 - Prob. 13SYUCh. 10 - Prob. 14SYUCh. 10 - Prob. 15SYUCh. 10 - Prob. 16SYUCh. 10 - Prob. 17SYUCh. 10 - Prob. 18SYUCh. 10 - Prob. 19SYUCh. 10 - Prob. 20SYUCh. 10 - Prob. 21SYUCh. 10 - Prob. 22SYUCh. 10 - Prob. 23SYUCh. 10 - Prob. 24SYUCh. 10 - Prob. 25SYUCh. 10 - Prob. 26SYUCh. 10 - Prob. 27SYUCh. 10 - Prob. 28SYUCh. 10 - Prob. 29SYUCh. 10 - Prob. 30SYU
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