Determine if the following series converges or diverges. If it converges determine its sum.∞∑n=2 1n2−1

Question

Determine if the following series converges or diverges. If it converges determine its sum.∞∑n=2 1n2−1
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Solution 1

To determine if the given series converges or diverges, we can use the integral test.

Step 1: Let's consider the function f(x) = 1/(x^2 - 1).

Step 2: We need to check if the integral of f(x) from 2 to infinity converges or diverges.

Step 3: Calculating the integral, we have ∫(2 to ∞) 1/(x^2 - Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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