Question

Evaluate the following limits. lim_{(x,y)rightarrow(e^2,4)}lnsqrt{xy}

Limits and continuity
ANSWERED
asked 2020-12-30
Evaluate the following limits. \(\lim_{(x,y)\rightarrow(e^2,4)}\ln\sqrt{xy}\)

Answers (1)

2020-12-31
Given limit expression is \(\lim_{(x,y)\rightarrow(e^2,4)}\ln\sqrt{xy}\)
Evaluate the limit value.
\(\lim_{(x,y)\rightarrow(e^2,4)}\ln\sqrt{xy}=\ln\sqrt{(e^2)(4)}\)
\(=\sqrt{(2e)^2}\)
\(=\ln(2e)\)
\(=\ln2+\ln(e)\)
\(=\ln2+1\)
\(\approx1.69315\)
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