Answered: "Evaluate the following limits. lim(x,y)→(1,−1)10uv−2v2u2+v2" - Plainmath

York

Answered question

2020-12-07

Evaluate the following limits.

lim_{(x, y) \to (1, - 1)} \frac{10 u v - 2 v^{2}}{u^{2} + v^{2}}

Answer & Explanation

okomgcae

Skilled2020-12-08Added 93 answers

The given expression is

lim_{(x, y) \to (1, - 1)} \frac{10 u v - 2 v^{2}}{u^{2} + v^{2}}

lim_{(x, y) \to (1, - 1)} \frac{10 u v - 2 v^{2}}{u^{2} + v^{2}} = \frac{10 (1) (- 1) - 2 (- 1)^{2}}{(1)^{2} + (- 1)^{2}}

= \frac{- 10 - 2}{2}

= \frac{- 12}{2}

= - 6

Jeffrey Jordon

Expert2022-04-01Added 2575 answers

Answer is given below (on video)

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