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Unread 25-03-2015, 12:38
Rachel Lim Rachel Lim is offline
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Re: Math Quiz 7

Using the Divergence Test and l'Hopital's Rule (and the rule that lets me take the exponent outside the limit), I got that the series diverged: http://goo.gl/KVYEKZ


Edited to add:

Graph of the series (to confirm my working):
Click image for larger version

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After thinking about this problem a bit more, I was wondering if this logic would work: as x→∞, the sum will resemble Σ1^(2x), which is just Σ1^(x), which diverges by the Geometric Series test (since it's just 1+1+1+1 infinite times). I get the same result, but I feel like I'm messing up something by applying l'Hopital's rule like that...

Last edited by Rachel Lim : 25-03-2015 at 14:03.
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