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I'm having some trouble rationalizing and getting the answer from this limit

\(\lim_{x\rightarrow -\infty}\sqrt{5x^2+4x+7}-\sqrt{5x^2+x+3}\)

 

If rationalizing is the way to go, I've managed to get to (if even that's correct)

\(\lim_{x\rightarrow -\infty}\frac{3x+4}{\sqrt{5x^2+4x+7}+\sqrt{5x^2+x+3}}\)

I've not figured out a way yet to get 1 as the denominator and i'm a bit stuck

 

any help would be great

 Jan 18, 2020
 #1
avatar+28478 
+3

Like so:

 

 Jan 19, 2020

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