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How do you find the lim (-7x^2-8y^2)/(sqrt(-7x^2-8y^2+1)-1) (x,y)->(0,0)? The hint is to rationalize the denominator but I have tried this and it only seems to make things complicated.
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Multiple numerator and denominator by conjugate. I'll work it out now.
I tried that but it made things complicated because of the -1. Did I do something wrong?
I got...\[\sqrt{1}+1\]
2
:)
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Perfect!
ur left with sqrt(-7x^2 - 8x^2 + 1) + 1 , so solving for the limit yields 2
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