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Question 3 Figure out the following limits. (1) $\lim_{(x,y)\to(-2,1)} \frac{x^2 - 2x - y^2 + 2y}{x^2 - 2x + y^2 + 2y}$ (2) $\lim_{(x,y)\to(0,0)} xy^2 \sin(\frac{1}{x^2 + y^2})$ (3) $\lim_{(x,y)\to(\pi/2,\pi/2)} \frac{\cos(y) - \sin(2y)}{\cos(x)\cos(y)}$

          Question 3
Figure out the following limits.
(1) $\lim_{(x,y)\to(-2,1)} \frac{x^2 - 2x - y^2 + 2y}{x^2 - 2x + y^2 + 2y}$
(2) $\lim_{(x,y)\to(0,0)} xy^2 \sin(\frac{1}{x^2 + y^2})$
(3) $\lim_{(x,y)\to(\pi/2,\pi/2)} \frac{\cos(y) - \sin(2y)}{\cos(x)\cos(y)}$

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Question 3
Figure out the following limits.
(1) lim(x,y)→(-2,1)(x^2 - 2x - y^2 + 2y)/(x^2 - 2x + y^2 + 2y)
(2) lim(x,y)→(0,0) xy^2 sin((1)/(x^2 + y^2))
(3) lim(x,y)→(π/2,π/2)(cos(y) - sin(2y))/(cos(x)cos(y))

Added by Jeremiah C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Kathleen Carty

05/12/2022

Step 1

Step 1: For the first limit, we need to find the limit of the expression y^2 - 2 - y^2 as y approaches 1. Show more…

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Text: Question 3 Figure out the following limits: 1. lim(y^2, 1) - 2 - y^2 2. lim(x, vo, xysin + y) 3. lim(y - x/2, cscos cosy - sin^2y)

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