For problem 2 part 2: To get your comparison series for LCT, choose the series with leading term over leading term. So you want the series of sqrt{n} over n "leading term over leading term" then go from there ### Problem 2**Task:** Determine, using comparison tests, if the following series converge or diverge.**Series:**\[ \sum_{n=1}^{\infty} \frac{\sqrt{n+1}}{n+2} \]**Note:** Must use Limit Comparison Test (LCT).

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Answered: Problem 2. if the following series…

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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For problem 2 part 2: To get your comparison series for LCT, choose the series with leading term over leading term. So you want the series of sqrt{n} over n "leading term over leading term" then go from there

### Problem 2

**Task:** Determine, using comparison tests, if the following series converge or diverge.

**Series:**

\[ \sum_{n=1}^{\infty} \frac{\sqrt{n+1}}{n+2} \]

**Note:** Must use Limit Comparison Test (LCT).

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