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satellite73Best ResponseYou've already chosen the best response.1
the square root grows slower so the limit will be zero
 10 months ago

agent0smithBest ResponseYou've already chosen the best response.2
Divide both numerator and denominator by x, to solve it algebraically.
 10 months ago

ChristosBest ResponseYou've already chosen the best response.0
I am sorry the actual epression is sort(x3/x)
 10 months ago

satellite73Best ResponseYou've already chosen the best response.1
\[\lim_{x\to \infty}\sqrt{\frac{x3}{x}}\]?
 10 months ago

satellite73Best ResponseYou've already chosen the best response.1
then it is one since \(x3\) and \(x\) grow at the same rate
 10 months ago

satellite73Best ResponseYou've already chosen the best response.1
think what it would be like if \(x\) was \(1,000\) you would have \[\sqrt{.993}\]
 10 months ago

agent0smithBest ResponseYou've already chosen the best response.2
\[\Large \lim_{x\to \infty}\sqrt{\frac{x3}{x}} = \sqrt {\lim_{x\to \infty}\frac{x3} {x}}\]
 10 months ago

ChristosBest 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 :(
 10 months ago

agent0smithBest ResponseYou've already chosen the best response.2
@Christos that's a completely different expression... break it up using limit laws.
 10 months ago

ChristosBest ResponseYou've already chosen the best response.0
ohh let me try hold on
 10 months ago

ChristosBest ResponseYou've already chosen the best response.0
What do you mean by limit laws?
 10 months ago

agent0smithBest ResponseYou've already chosen the best response.2
\[\Large = \lim_{x \rightarrow \infty} \sqrt{x^2  3x} \lim_{x \rightarrow \infty} x\]
 10 months ago

ChristosBest ResponseYou've already chosen the best response.0
so thats infinity  infinity  infinity = +infinity?
 10 months ago

agent0smithBest 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.
 10 months ago

ChristosBest ResponseYou've already chosen the best response.0
It's ok man dont brother I found it thank you
 10 months ago

agent0smithBest 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
 10 months ago
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