Grant Malone
06/27/2023 · Primary School
4. Find all values of \( c \) such that the following function is continuous at \( x=c \) \[ f(x)=\left\{\begin{array}{ll}e^{c x}-e^{x}, & x \leq c . \\ x e^{x}-c e^{c}, & x>c\end{array}\right. \]
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The values of \( c \) for which the function is continuous at \( x = c \) are \( c = 0 \) and \( c = 1 \).
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