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

York

Answered question

2021-05-01

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

Answer & Explanation

comentezq

comentezq

Skilled2021-05-02Added 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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