convergant or divergant question

kikachuck

New member
Joined
Jul 13, 2005
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Ok, I'm stumped on this one particular homework problem...

Determine whether the sequence converges or diverges, if it converges, find the limit

{ ln[x]/ ln[2x]} prob. #28 section 11.1 of Early Transcendentals 5e by James Stewart

I tried to do it using L'Hospitals rule which gave me (1/x)/(1/x) which would make the limit 0/0 or undefined, which would make it divergant. However, when I put the original into my calculator, the limit as it approaches infinity is quite clearly 1. Is my math wrong, or am I not doing the calculator work right?
 
I love it when the tiniest bit of algebra clears up a calculus problem.
 
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