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If f(x)={{:(|x|+1,xlt0),(0,x=0) ,(|x|-1...

If ` f(x)={{:(|x|+1,xlt0),(0,x=0) ,(|x|-1,xgt0):}`
for what value (s) of a does `lim_(xrarra) f(x)` exists?

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To determine the values of \( a \) for which \( \lim_{x \to a} f(x) \) exists, we first need to analyze the given piecewise function: \[ f(x) = \begin{cases} |x| + 1 & \text{if } x < 0 \\ 0 & \text{if } x = 0 \\ |x| - 1 & \text{if } x > 0 ...
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