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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)

(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)

Advanced Engineering Mathematics
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) 700) 2xy (b) Evaluate the limit by converting to polar coordinates. lim (x)-(0,0) In (x² + y²)
Transcribed Image Text:(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) 700) 2xy (b) Evaluate the limit by converting to polar coordinates. lim (x)-(0,0) In (x² + y²)
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