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

sanuluy

sanuluy

Answered question

2021-03-11

Evaluate the following limits.
lim(x,y)(4,5)x+y3x+y9

Answer & Explanation

Viktor Wiley

Viktor Wiley

Skilled2021-03-12Added 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
Jeffrey Jordon

Jeffrey Jordon

Expert2022-04-01Added 2605 answers

Answer is given below (on video)

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