I cant seem to get these few.... any help?? 1. lim ((x)/(x-1) - (1)/(ln x)) x-> 1 2. Lim (sqrt(x^2-x) - x) x-> INFINITY 3. Lim (cot x - (1/x)) x -> 0
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Originally Posted by skabani I cant seem to get these few.... any help?? 1. lim ((x)/(x-1) - (1)/(ln x)) x-> 1 2. Lim (sqrt(x^2-x) - x) x-> INFINITY 3. Lim (cot x - (1/x)) x -> 0 2. Note: .
1. 2 Should be pretty straight forward. 3.
I think the syntax for number 1 got mixed up..do you mind re-posting it?? Thanks so much!!
nvm..thanks
Originally Posted by o_O 1. 2 Should be pretty straight forward. 3. i have the answer to 1 and its (1/2), not 0...
Originally Posted by skabani i have the answer to 1 and its (1/2), not 0... o_O never said the answer to number 1 is zero, (s)he said it was the indeterminant form 0/0. -Dan
Originally Posted by o_O [snip] 3. For 3., instead of running to the l'hopital (several times in fact) - help! help! it's an emergency - you could instead substitute the series expansion for tan x around x = 0. Then you have: .
Last edited by mr fantastic; Apr 4th 2008 at 09:00 PM.
Originally Posted by o_O 1. [snip] Again, instead of running to the l'Hopital, you could substitute the series expansion for ln x around x = 1: . Then: and it's pretty clear what happens as ......
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