4. Consider this piece-wise function. $f(x) = \begin{cases} 2x + 5, & x \le 0 \ e^x, & x > 0 \end{cases}$ a) Use one-sided limits to show that $f(x)$ is discontinuous at $x = 0$. (4 points) b) Which type of discontinuity does $f(x)$ have at $x = 0$? (2 points)
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\[ f(x) = \begin{cases} 2x + 5, & \text{if } x \leq 0 \\ e^x, & \text{if } x > 0 \end{cases} \] Show more…
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