Find the limit.
-$$\lim _ { P \rightarrow ( 4,4,1 ) } \ln \left( z \sqrt { x ^ { 2 } + y ^ { 2 } } \right)$$
A) $\ln \sqrt { 2 }$
B) $\ln 4 \sqrt { 2 }$
C) 0
D) $\ln 16$

Name: Find the limit. -\[\lim _ { P \rightarrow ( 4,4,1 ) } \ln \left( z \sqrt { x ^ { 2 } + y ^ { 2 } } \right)\] A) $\ln \sqrt { 2 }$ B) $\ln 4 \sqrt { 2 }$ C) 0 D) $\ln 16$
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Question

Quizplus · Accepted Answer

Substituting $P(4,4,1)$ into the expression gives $\ln(1 \cdot \sqrt{4^2 + 4^2}) = \ln(\sqrt{32}) = \ln(4\sqrt{2})$.

Find the Limit lim⁡P→(4,4,1)ln⁡(zx2+y2)\lim _ { P \rightarrow ( 4,4,1 ) } \ln \left( z \sqrt { x ^ { 2 } + y ^ { 2 } } \right)P→(4,4,1)lim​ln(zx2+y2​)

Find the Limit $\lim _ { P \rightarrow ( 4,4,1 ) } \ln \left( z \sqrt { x ^ { 2 } + y ^ { 2 } } \right)$