Mathematics, 26.02.2020 01:24 ldelgado97
Test each of the following series for convergence by the Integral Test. If the Integral Test can be applied to the series, enter CONV if it converges or DIV if it diverges. If the integral test cannot be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the Integral Test cannot be applied to it, then you must enter NA rather than CONV.)
1. (n=1 → [infinity] ) Σ ne⁻⁵ⁿ
2. (n=1 → [infinity] ) Σ (n+1)/(-7)ⁿ
3. (n=1 → [infinity] ) Σ ln(7n)/n
4. (n=1 → [infinity] ) Σ ne⁵ⁿ
5. (n=1 → [infinity] ) Σ 6/(n ln(8n))
Answers: 2
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Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)
Answers: 1
Test each of the following series for convergence by the Integral Test. If the Integral Test can be...
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