MCQ
Function $f(x)={\left( {1 + \frac{1}{x}} \right)^x}$ then Domain of $f (x)$ is
- A$(-1, 0) \cup (0, \infty )$
- B$R - { 0 }$
- ✓$(-\infty , -1) \cup (0, \infty )$
- D$(0, \infty )$
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$(A)$ $f(x)$ is differentiable only in a finite interval containing zero
$(B)$ $f(x)$ is continuous $\forall x \in R$
$(C)$ $f^{\prime}(x)$ is constant $\forall x \in R$
$(D)$ $f(x)$ is differentiable except at finitely many points