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OpenStudy (luigi0210):
Limits:
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OpenStudy (anonymous):
Whats your question?
OpenStudy (luigi0210):
Solve algebraically:
\[\LARGE \lim_{x \rightarrow \infty}~(\sqrt{x^2+7x}-\sqrt{x^2+5x})\]
OpenStudy (anonymous):
every time you see a square root, it's always a good idea to try the conjugate
OpenStudy (anonymous):
2x / (sqrt(x^2+7x) + sqrt(x^2+5x))
OpenStudy (rebeccapink6398):
WOW!!!!!!!!!!!!!!! I am in 6 grade right now... that looks soooooooooo hard! O.o
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OpenStudy (anonymous):
they divide both top and bottom by x
OpenStudy (anonymous):
i believe the limit is 1 if my mental calculation is correct
OpenStudy (luigi0210):
Yup~
Just trying to see if anyone would of suggested a different method other than conjugate.. guess that's the only way xD
Thanks
OpenStudy (anonymous):
I'm sure there are other ways to find the limit, but conjugate is the most common method when it comes to square root
OpenStudy (luigi0210):
Thanks @sourwing
And did you spam my question with a question? xD
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OpenStudy (anonymous):
uhm...what?
OpenStudy (luigi0210):
I was referring to @RebeccaPink6398 >.>
OpenStudy (rebeccapink6398):
ohh sorry lol
OpenStudy (anonymous):
lol
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