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anonymous
 5 years ago
why does 1/x diverge while 1/x^2 converge and does 1/x^3 converge too?
anonymous
 5 years ago
why does 1/x diverge while 1/x^2 converge and does 1/x^3 converge too?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Because x^1 always makes an unfriendly number. Anything like x^a where a > 1 will make friendly numbers which always converge.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Do you know about p series? If you have a series of 1/(x^p), it is a pseries. Basically in a pseries, if p is greater than one, it converges, and if p is less than or equal to one, it diverges.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks john i just wasnt quite sure. do u guys know the difference between a geometric and harmonic series? how do you id them thnks

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0In a geometric series, \[\sum_{n=1}^{infty} 1/n\] Is a harmonic series, while \[\sum_{n=0}^{\infty} a1 * r^n \] Is a geometric series. A harmonic series is just a series with an increasing denominator with each term. A geometric series has a constant ratio between each term, r.
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