Question
Evaluate the following:
$\lim _{x \rightarrow 0}\left[\frac{\left(2^x-1\right)^2}{\left(3^x-1\right) \cdot \log (1+x)}\right]$
$\lim _{x \rightarrow 0}\left[\frac{\left(2^x-1\right)^2}{\left(3^x-1\right) \cdot \log (1+x)}\right]$
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(ii) $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=-2, \frac{1}{x}-\frac{2}{y}+\frac{1}{z}=3, \frac{2}{x}-\frac{1}{y}+\frac{3}{z}=-1$