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For what values of p is the series M8 x=1 √x+7x+5 convergent?

For what values of p is the series M8 x=1 √x+7x+5 convergent?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question:** For what values of \( p \) is the series \[ \sum_{x=1}^{\infty} \frac{6\sqrt{x}}{\sqrt{x^p + 7x + 5}} \] convergent? **Options:** - \( p > 1 \) - \( p > \frac{7}{3} \) - \( p < 2 \) - \( p \leq \frac{7}{3} \) - \( p \leq \frac{9}{6} \)
Transcribed Image Text:**Question:** For what values of \( p \) is the series \[ \sum_{x=1}^{\infty} \frac{6\sqrt{x}}{\sqrt{x^p + 7x + 5}} \] convergent? **Options:** - \( p > 1 \) - \( p > \frac{7}{3} \) - \( p < 2 \) - \( p \leq \frac{7}{3} \) - \( p \leq \frac{9}{6} \)
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