Find the limit (if it exists) and discuss the continuity of the function.

York
2021-05-01
Answered

Find the limit (if it exists) and discuss the continuity of the function.

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comentezq

Answered 2021-05-02
Author has **106** answers

Everything is defined at the given point, so we can just directly substitute.

$\underset{(x,y,z)\to (-3,1,2)}{lim}\frac{\mathrm{ln}z}{xy-z}=\frac{\mathrm{ln}2}{-3\left(1\right)-2}=-\frac{\mathrm{ln}2}{5}$

The function is continuous at this point and where$xy\ne qz$

The function is continuous at this point and where

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a)

b)

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1)

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