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?
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?
