Newton Olson
09/19/2024 · Middle School
11. Let \[ f(x)\left\{\begin{array}{ll}\frac{x^{2}-1}{x+1} & \text { if } x<-1 \\ \ln |x|-2 & \text { if }-1 \leq x \leq e \\ -1-\ln x & \text { if } x>e\end{array}\right. \] where \( e \) is the Euler number which is used as the base of the natural logarithm . Which of the following is TRUE about continuity of \( f \) ? A. The function \( f \) is continuous everywhere except -1 . B. The function \( f \) is continuous everywhere except -1 and \( e \). C. The function \( f \) is continuous everywhere except \( -1, e \), and 0 . D. The function \( f \) is continuous everywhere except 0 and -1 . E. The function \( f \) is continuous everywhere except 0 and e.
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The function \( f \) is continuous everywhere except -1 and \( e \).
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