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Find All Points Where the Function Is Discontinuous limf(x)\lim f ( x )

question 11

True/False

Find all points where the function is discontinuous.
-Does limf(x)\lim f ( x ) exist?
f(x)={x2+1,1x<02x,0<x<14,x=12x+41<x<35,3<x<5f ( x ) = \left\{ \begin{array} { l l } - x ^ { 2 } + 1 , & - 1 \leq x < 0 \\2 x , & 0 < x < 1 \\- 4 , & x = 1 \\- 2 x + 4 & 1 < x < 3 \\5 , & 3 < x < 5\end{array} \right.
 Find all points where the function is discontinuous. -Does  \lim f ( x )  exist?  f ( x ) = \left\{ \begin{array} { l l }  - x ^ { 2 } + 1 , & - 1 \leq x < 0 \\ 2 x , & 0 < x < 1 \\ - 4 , & x = 1 \\ - 2 x + 4 & 1 < x < 3 \\ 5 , & 3 < x < 5 \end{array} \right.

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