9. Now we'll apply the Integral Test in an example. Determine whether following these steps: 1 an = n² + 1; so let f(x) = f(x) is decreasing because: (Hint: find f'(x)) Check that f(x) is positive: n=l Σ m² + 1 1 We've fulfilled the hypotheses of the integral test, so we can conclude that either both converge or both diverge. converges or diverges by 1 and n²+1 n S 1 x²+1 dx

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