Help with these: Find the limit if it exists
Last edited by ^_^Engineer_Adam^_^; Mar 9th 2007 at 08:14 PM.
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do you know L'Hopital's rule?
Number 3 has an answer similar to this: Question: how did (2x-1)/(2sqrt(x^2-x)) became 1?
Originally Posted by ^_^Engineer_Adam^_^ Number 3 has an answer similar to this: Question: how did (2x-1)/(2sqrt(x^2-x)) became 1? for x>0 sqrt(x^2-x)=x*sqrt(1-1/x) now simplify (2x-1)/(2sqrt(x^2-x)) and take the limit.
Is The answer of number 1 e^1? and thanks no need for 2 & 3 ive already answered it
Originally Posted by ^_^Engineer_Adam^_^ Is The answer of number 1 e^1? and thanks no need for 2 & 3 ive already answered it No (1) diverges. Take logs and then consider the limit of x^2 ln(1+1/(2x)) using L'Hopital's rule. RonL
The answer of no. 1 is e^(-4)? Isnt it?
Originally Posted by ^_^Engineer_Adam^_^ The answer of no. 1 is e^(-4)? Isnt it? (1+1/(2*10))^(10^2) ~= 131 (1+1/(2*100))^(100^2) ~= 4.6 10^21 L'Hopital says it diverges, and numerical experiment supports that. RonL
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