Evaluate the following limits. lim_{(x,y,z)rightarrow(1,1,1)}frac{yz-xy-xz-x^2}{yz+xy+xz-y^2}

Jaden Easton 2021-01-17 Answered
Evaluate the following limits.
lim(x,y,z)(1,1,1)yzxyxzx2yz+xy+xzy2
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Expert Answer

Jozlyn
Answered 2021-01-18 Author has 85 answers
Evaluate:
lim(x,y,z)(1,1,1)yzxyxzx2yz+xy+xzy2
Simplification:
We have
lim(x,y,z)(1,1,1)yzxyxzx2yz+xy+xzy2
Apply the limit,
lim(x,y,z)(1,1,1)yzxyxzx2yz+xy+xzy2=(1)(1)(1)(1)(1)(1)(1)2(1)(1)+(1)(1)+(1)(1)(1)2
11111+1+11
=22
=1
Hence,
lim(x,y,z)(1,1,1)yzxyxzx2yz+xy+xzy2=1
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Jeffrey Jordon
Answered 2022-04-01 Author has 2070 answers

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