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Unformatted text preview: 1 1 n n Example: 1 2 1 n n pseries and Harmonic Series A pseries is one of the form ... 3 1 2 1 1 1 1 1 p p p n p n When p=1 , the series becomes ... 3 1 2 1 1 1 1 1 p n n and is called the Harmonic Series As you saw in the above examples we can use the integral test to determine the pseries test which tells us that a pseries converges if p>1 and diverges if 1 p (therefore the harmonic series diverges) Examples:...
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 Spring '12
 PamelaSatterfield
 Calculus, Harmonic Series, Mathematical Series, Convergence, Dominated convergence theorem

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