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Practice problem

Harmonic Series Diverges

By Cameron Montag

We know the harmonic series diverges. But what if we take out every other term? 12+14+16+⋯=∑n=1∞12n\frac{1}{2} + \frac{1}{4} + \frac{1}{6} + \dots = \sum_{n=1}^\infty \frac{1}{2n} Does this series converge or diverge?

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Type a concept, like “slope” or “photosynthesis”.

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