Question II(11 marks) Let \[ f(x)=\left\{\begin{array}{lll} \frac{1}{x}, & x>0 \quad \text { (o - }-\infty) \\ x, & x \leq 0 \quad(-\infty<)] \end{array}\right. \] (a) Study the continuity of \( f \) on \( \mathbb{R} \), using definition.
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The function is defined piecewise as follows: \[ f(x) = \begin{cases} \frac{1}{x}, & x > 0 \\ x, & x \leq 0 \end{cases} \] ### Show more…
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