Evaluate the following limits. \(\displaystyle\lim_{{{\left({x},{y},{z}\right)}\rightarrow{\left({0},{1},{0}\right)}}}{\ln{{\left({1}+{y}\right)}}}{e}^{{{x}{z}}}\)

ideklaraz7xz

ideklaraz7xz

Answered question

2022-03-31

Evaluate the following limits.
lim(x,y,z)(0,1,0)ln(1+y)exz

Answer & Explanation

Madilyn Shah

Madilyn Shah

Beginner2022-04-01Added 11 answers

Consider the following limit:
lim(x,y,z)(0,1,0)ln(1+y)exz=ln(1+1)e0×0
=ln(2)e0
=ln(2)×1
=ln(2)
Hence, the solution is lim(x,y,z)(0,1,0)ln(1+y)exz=ln(2)

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