Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
**Problem:** Find the sum of the series \[ \sum_{n=1}^{\infty} \frac{1}{n^3} \] correct to 3 decimal places. **Answer Attempt:** 1.186 ❌ **Explanation:** The series given is an infinite series where the general term is \(\frac{1}{n^3}\), starting from \(n=1\) and continuing indefinitely. The task is to find the sum of this series to three decimal places. The attempt provided, 1.186, is incorrect, as indicated by the red cross mark. This implies a recalculation or a more precise method is necessary to achieve the correct sum to the requested precision.
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Transcribed Image Text:**Problem:** Find the sum of the series \[ \sum_{n=1}^{\infty} \frac{1}{n^3} \] correct to 3 decimal places. **Answer Attempt:** 1.186 ❌ **Explanation:** The series given is an infinite series where the general term is \(\frac{1}{n^3}\), starting from \(n=1\) and continuing indefinitely. The task is to find the sum of this series to three decimal places. The attempt provided, 1.186, is incorrect, as indicated by the red cross mark. This implies a recalculation or a more precise method is necessary to achieve the correct sum to the requested precision.
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