Examine for continuity the function f' defined by $ f(x) = \left\{ \begin{array}{l l} \large\frac{e^{\large \frac{1}{x}} - 1}{e^{\large\frac{1}{x}} + 1}, & \quad { x \neq 0}\\ 0, & \quad \text{ $x$ = 0} \end{array}. \right. \: at\: x = 0.$

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