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Christos
 2 years ago
Solve the limit
limit(x>+infinity) sqrt((x3)/x)
Christos
 2 years ago
Solve the limit limit(x>+infinity) sqrt((x3)/x)

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satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1the square root grows slower so the limit will be zero

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

Christos
 2 years ago
Best ResponseYou've already chosen the best response.0I am sorry the actual epression is sort(x3/x)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1\[\lim_{x\to \infty}\sqrt{\frac{x3}{x}}\]?

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

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

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

Christos
 2 years ago
Best ResponseYou've already chosen the best response.0bro 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 :(

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

Christos
 2 years ago
Best ResponseYou've already chosen the best response.0ohh let me try hold on

Christos
 2 years ago
Best ResponseYou've already chosen the best response.0What do you mean by limit laws?

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

Christos
 2 years ago
Best ResponseYou've already chosen the best response.0so thats infinity  infinity  infinity = +infinity?

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

Christos
 2 years ago
Best ResponseYou've already chosen the best response.0It's ok man dont brother I found it thank you

agent0smith
 2 years ago
Best ResponseYou've already chosen the best response.2Yeah 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
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