This is the whole question. There is no z value given. -Show thatz - Va² + y?lim(7,y)→(0,0) 4 – v16 – x² – y² – 22

Show thatlimx,y→0,0z-x2+y24-16-x2-y2-z2=0

Answered: Show that lim (z,y)→(0,0) 4 z - Va² +…

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Show that lim (z,y)→(0,0) 4 z - Va² + y? V16 – x² – y? – 2²

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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Question

This is the whole question. There is no z value given.

-Show that
z - Va² + y?
lim
(7,y)→(0,0) 4 – v16 – x² – y² – 22

Expert Solution

Step 1

$\begin{array}{l} Show that \\ \lim_{(x, y) \to (0, 0)} \frac{z - \sqrt{x^{2} + y^{2}}}{4 - \sqrt{16 - x^{2} - y^{2} - z^{2}}} = 0 \end{array}$

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