Mathematics, 07.05.2020 00:10 tpenn2476
Find the sum of the series [infinity] (−1)n n! n = 0 correct to three decimal places. SOLUTION We first observe that the series is convergent by the Alternating Series Test because (i) 1 (n + 1)! = 1 n!(n + 1) Correct: Your answer is correct. 1 n! (ii) 0 < 1 n! ≤ 1 n → 0 Correct: Your answer is correct. so 1 n! → 0 Correct: Your answer is correct. as n → [infinity]. To get a feel for how many terms we need to use in our approximation, let's write out the first few terms of the series: s = 1 0! − 1 1! + 1 2! − 1 3! + 1 4! − 1 5! + 1 6! − 1 7! + ⋯
Answers: 2
Mathematics, 21.06.2019 14:10
Can u guys do this ratio question. this is extremely urgent a tap is leaking water at a rage of 1l every 8 hours. how long will it take for the tap to leak a total of 300ml?
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Mathematics, 21.06.2019 22:10
Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 14 ft high? (round your answer to two decimal places.) ft/min
Answers: 3
Find the sum of the series [infinity] (−1)n n! n = 0 correct to three decimal places. SOLUTION We fi...
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