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appleduardo
 2 years ago
whats the limit of the following function?
appleduardo
 2 years ago
whats the limit of the following function?

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appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ x ^{2}\sqrt{x} }{ 1\sqrt{x} }\]

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.1Do you know how to solve this?

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0you may try rationalizing, both numerator and denom separately..

appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0but how can i do that? do first the denomitador and then de numerator or both at the same time?

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0any order you prefer..

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0you may rationalize either denom or nume first,,order wont matter..

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.1Use L'Hospital Rule

appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0mm but how? maybe something like this? \[\frac{ x ^{2} +\sqrt{x} }{ x ^{2} +\sqrt{x} }\] multiply the original function times the rationalization of the numerator?

appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0yeep, i know the limit, but what i dont, is how to find it

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.1Just take the derivative of the top, and then take the derivative of the bottom,

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.1Then plug in 1 for x and that will give you the limit.

appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0mm but how can i find the limit without using L'hopital? cos my teacher doesnt allow me to do that yet, he want me to find the limit algebraically

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.1Just multiply top and bottom by conjugates then.

appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0respectively? i mean the numerator conjugate times the original numerator and the denominator conjugate times the original denominator?

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.1What you want to do is rationalize one side.

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.1So, just multiply top and bottom by 1+sqrt(x)

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.1You should get 1x for the bottom

appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ x ^{2}\sqrt{x}(1+\sqrt{x}) }{1x }\] so thts my result after doing what u said :p is it correct?

Aussie
 2 years ago
Best ResponseYou've already chosen the best response.0you would have parenthesis around x^2 and sqrt x

appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0mm yes so what can i do next?

Aussie
 2 years ago
Best ResponseYou've already chosen the best response.0I am not sure actually you still have on the denominator 11 which is still dividing by a zero

Aussie
 2 years ago
Best ResponseYou've already chosen the best response.0your limit does not exist?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0\(\huge\frac{ (x ^{2}\sqrt{x})(1+\sqrt{x}) }{1x }\times \frac{x^2+\sqrt x}{x^2+\sqrt x}\)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0x^4x = x(x^31) = x(x1)(x^2x+x+1)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0put x=1 after cancelling 1x

linknissan
 2 years ago
Best ResponseYou've already chosen the best response.0divide both num and dem by x^2..
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