anonymous
  • anonymous
Calculus Problem!! Decide whether each of the following series converges. If a given series converges, find its sum. sum_{n=1}^{infty}(sin (-2n)-sin (-2(n+1))) sum_{n=1}^{infty}(e ^{10n}-e ^{10(n+1)}) sum_{n=1}^{infty}(sin(-2/n)-sin(-2/(n+1)))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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experimentX
  • experimentX
damn ... can see a thing .. latex problem
experimentX
  • experimentX
looks like first one neither converges or diverges, since it is an oscillating series, the second diverges, the third converges
anonymous
  • anonymous
∑(bottom:n=1,upper:∞) (sin(−2n)−sin(−2(n+1))) ∑(bottom:n=1,upper:∞) (e^(10n)−e^(10(n+1))) ∑(bottom:n=1,upper:∞) (sin(−2/n)−sin(−2/(n+1)))

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experimentX
  • experimentX
let's use sin c - sin d formula
experimentX
  • experimentX
1) gives you cos 2n which is again an oscillating seq ... neither conv nor div 2) second div .. just split that ex 3) ... try that later

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