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Find (lim)(x->5)f(x), where f(x)=|x|-5...

Find `(lim)_(x->5)f(x)`, where `f(x)=|x|-5`

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To find the limit \( \lim_{x \to 5} f(x) \) where \( f(x) = |x| - 5 \), we can follow these steps: ### Step 1: Understand the function The function given is \( f(x) = |x| - 5 \). The absolute value function \( |x| \) behaves differently based on the value of \( x \): - If \( x \geq 0 \), then \( |x| = x \). - If \( x < 0 \), then \( |x| = -x \). ### Step 2: Determine the relevant case for \( x \to 5 \) ...
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