Find the limit and discuss the continuity of the function. \lim_{(x,y)\to

waigaK

waigaK

Answered question

2021-10-25

Find the limit and discuss the continuity of the function.
lim(x,y)(2,4)x+yx2+1

Answer & Explanation

Maciej Morrow

Maciej Morrow

Skilled2021-10-26Added 98 answers

Evaluate
lim(x,y)(2,4)x+yx2+1
Now apply the limit,
lim(x,y)(2,4)x+yx2+1=(2)+(4)(2)2+1
=2+44+1
=65
Since the limit is finite so function is continuous everywhere.
Hence
lim(x,y)(2,4)x+yx2+1=65
And function is continuous everywhere.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-30Added 2605 answers

Answer is given below (on video)

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