Questions from Calculus


Q: Use the integral test to determine whether the infinite series is convergent

Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=2∞ k/(k2 + 1)3/2

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Q: Use the integral test to determine whether the infinite series is convergent

Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ 1/(2k + 1)3

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Q: Use the integral test to determine whether the infinite series is convergent

Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=2∞ 1/k(ln k)2

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Q: Use the integral test to determine whether the infinite series is convergent

Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ 1/(3k)2

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Q: Use the integral test to determine whether the infinite series is convergent

Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ e3-k

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Q: Use the integral test to determine whether the infinite series is convergent

Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ 1/e2k+1

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Q: Determine the third Taylor polynomial of 1/(5 – x)

Determine the third Taylor polynomial of 1/(5 – x) at x = 4.

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Q: Use the integral test to determine whether the infinite series is convergent

Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ ke-k2

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Q: Use the integral test to determine whether the infinite series is convergent

Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ k-3/4

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Q: Use the integral test to determine whether the infinite series is convergent

Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ (2k + 1)/(k2 + k + 2)

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