The set of all real values of $x$ for which the real valued function $f(x)=\left(1+\frac{1}{x}\right)^x$ is defined, is

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Aicharya · Accepted Answer

$\begin{array}{ll}& f(x)=\left(1+\frac{1}{x}ight)^x \ \Rightarrow & \left(1+\frac{1}{x}ight)>0 \ & \frac{x+1}{x}>0 \ & \frac{-1+1}{-1} \ \Rightarrow & x \in(-\infty,-1) \cup(0, \infty) .\end{array}$

The set of all real values of $x$ for which the real valued function $f(x)=\left(1+\frac{1}{x}\right)^x$ is…

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