(a) Show that the limit does not exist by considering the limits as (x, y) →(0,0) along thecoordinate axes.x+ylim(x,y) 700) 2xy(b) Evaluate the limit by converting to polar coordinates.lim(x)-(0,0)In (x² + y²)

Let us find the limits of the functions in the next steps.

Answered: (a) Show that the limit does not exist…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(a) Show that the limit does not exist by considering the limits as (x,y) →(0,0) along the coordinate axes. x+y lim (x,y)-(0,0) 2x² + y² (b) Evaluate the limit by converting to polar coordinates. lim x² + y² In (x² + y²) (x,y)-(0.0)