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satellite73 Group TitleBest ResponseYou've already chosen the best response.1
the square root grows slower so the limit will be zero
 one year ago

agent0smith Group TitleBest ResponseYou've already chosen the best response.2
Divide both numerator and denominator by x, to solve it algebraically.
 one year ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
I am sorry the actual epression is sort(x3/x)
 one year ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
sqrt((x3)/x)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
\[\lim_{x\to \infty}\sqrt{\frac{x3}{x}}\]?
 one year ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
Yes thats correct
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
then it is one since \(x3\) and \(x\) grow at the same rate
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
think what it would be like if \(x\) was \(1,000\) you would have \[\sqrt{.993}\]
 one year ago

agent0smith Group TitleBest ResponseYou've already chosen the best response.2
\[\Large \lim_{x\to \infty}\sqrt{\frac{x3}{x}} = \sqrt {\lim_{x\to \infty}\frac{x3} {x}}\]
 one year ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
bro I am trying to solve this limit actually http://screencast.com/t/Yoo5IO0bRPjD And I ended up in the expression above, but what you give me isnt the final answer, something must be wrong :(
 one year ago

agent0smith Group TitleBest ResponseYou've already chosen the best response.2
@Christos that's a completely different expression... break it up using limit laws.
 one year ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
@satellite73
 one year ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
ohh let me try hold on
 one year ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
What do you mean by limit laws?
 one year ago

agent0smith Group TitleBest ResponseYou've already chosen the best response.2
\[\Large = \lim_{x \rightarrow \infty} \sqrt{x^2  3x} \lim_{x \rightarrow \infty} x\]
 one year ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
so thats infinity  infinity  infinity = +infinity?
 one year ago

agent0smith Group TitleBest ResponseYou've already chosen the best response.2
From a graph it looks like it'll be 1.5, I'm just trying to find a way to show that algebraically.
 one year ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
It's ok man dont brother I found it thank you
 one year ago

agent0smith Group TitleBest ResponseYou've already chosen the best response.2
Yeah i'm glad i didn't try to do it myself... wolfram gives a looooong solution: http://www3.wolframalpha.com/Calculate/MSP/MSP35891gdgbb0f2cc1ecie00005387i303c364idgg?MSPStoreType=image/png&s=42&w=433&h=1816
 one year ago
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