Use the Integral Test to determine if the series in Exercises 1-10 con- verge or diverge....

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Use the Integral Test to determine if the series in Exercises 1-10 con- verge or diverge. Be sure to check that the conditions of the Integral Test are satisfied. 00 1. Σ 4. 7. IM8 IM8 IM8 IM n² 9. Σ 1 n + 4 n n? + 4 n² en/3 2. 5. ∞ Σ n=1 10.2 ο Σε n=1 –2η e 8. Σ' n=2 ∞ 10. Σ In (n) η 00 1 3. Σ η= 00 6. Σ n? + 4 1 n=2n(In n)2 n - 4 n=2n? – 2n + 1 Use the Integral Test to determine if the series in Exercises 1-10 con- verge or diverge. Be sure to check that the conditions of the Integral Test are satisfied. 00 1. Σ 4. 7. IM8 IM8 IM8 IM n² 9. Σ 1 n + 4 n n? + 4 n² en/3 2. 5. ∞ Σ n=1 10.2 ο Σε n=1 –2η e 8. Σ' n=2 ∞ 10. Σ In (n) η 00 1 3. Σ η= 00 6. Σ n? + 4 1 n=2n(In n)2 n - 4 n=2n? – 2n + 1

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Exercise 1 1n2 The function fx 1x2 is decreasing for all x 1 so the series n11n2 converges To see this we can compare the series to the harmonic series which is known to diverge The harmonic series is ... View the full answer