Find the limit (if it exists) and discuss the continuity of the function.\lim_{(x,y,z) \rightarrow (-3,1,2)}\frac{\ln z}{xy-z}

York 2021-05-01 Answered

Find the limit (if it exists) and discuss the continuity of the function.
lim(x,y,z)(3,1,2)lnzxyz

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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.
lim(x,y,z)(3,1,2)lnzxyz=ln23(1)2=ln25
The function is continuous at this point and where xyqz
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