Evaluate the following limits. lim_{(x,y)rightarrow(4,5)}frac{sqrt{x+y}-3}{x+y-9}

sanuluy 2021-03-11 Answered
Evaluate the following limits.
lim(x,y)(4,5)x+y3x+y9
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Expert Answer

Viktor Wiley
Answered 2021-03-12 Author has 84 answers
It is given that lim(x,y)(4,5)x+y3x+y9
lim(x,y)(4,5)x+y3x+y9=lim(x,y)(4,5)x+y3x+y9×x+y+3x+y+3
=lim(x,y)(4,5)(x+y)232(x+y9)(x+y+3)
=lim(x,y)(4,5)x+y9(x+y9)(x+y+3)
=lim(x,y)(4,5)1(x+y+3)
=1(4+5+3)
=16
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Jeffrey Jordon
Answered 2022-04-01 Author has 2047 answers

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