Chapter 9.2, Problem 36E

2. Evaluate, lim (3x+ y). (х,у)-(4,5)

Choose the answer

n Exercises 1-12, evaluate the indicated limit or explain why it does not exist. sin(xy) 2x2 - ху 9. lim 10. lim (r,y)-(0,0) x2 + y2 (x.y)(1,2) 4x2-y2 1. lim xy +x2 2. Vx2 + y2 lim (x.y) (2,-1) 11. lim (r,y)(0,0) x2 + v4 13. Kow can the functionT (x.y) (0,0) lim (r,y)(0,0) 2r4+ y4 x² + y? 3. lim 4. lim x2 +y2-x'y3 (x.y) (0,0) y (x.y) (0,0) x2 + y? f(x.y)%D (x. y) # (0.0). x2 + y2 cos(xy) x(y-1)2 be defined at the origin so that it becomes continuous at all points of the xy-plane? 5. lim 6. X.y)(I.) 1-XIcos y lim (x.y) (0.1) x2 +(y-1)2 14. How can the function 7. sin(x - y) x-y lim (r.y) (0,0) X2+ y2 8. lim (x.y)-(0,0) Cos(x + y) f(x, y) = (x#y). x-y