Evaluate the limit using continuity. \lim_{(x,y)\to(1,2)}(x^2+y)

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Answered question

2021-10-12

Evaluate the limit using continuity.
lim(x,y)(1,2)(x2+y)

Answer & Explanation

Margot Mill

Margot Mill

Skilled2021-10-13Added 106 answers

The statement of continuity states that if f(x) is continuous, then f(a)=limxaf(x), where a is any constant value.
If, the function lim(x,y)(1,2)(x2+y) is continuous because when the value of x and y are substituted, the limit is defined; so, the values of limits can directly be substituted to obtain the value of the limit.
lim(x,y)(1,2)(x2+y)=12+2
=1+2
=3
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-30Added 2605 answers

Answer is given below (on video)

Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-30Added 2605 answers

Answer is given below (on video)

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