'Diverges' presentation slideshows

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Ms. Battaglia AP Calculus

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A Curious Convergent Series

A Curious Convergent Series . Harmonic Series. We Know that the Series . Diverges Proof : If Possible suppose it converges to H , i.e. H = . Then, H. H. This Contradiction Concludes the Proof. Kempner Series: A modification of harmonic Series.

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1.) A-S coverges absolutely

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Example 1 Determine whether the improper integral converges or diverges.

Example 1 Determine whether the improper integral converges or diverges. Solution Since ln x ? x ln x for x ? 3, it follows that for x ? 3. In Example 4.9.7 (5), we showed the improper integral diverges.

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