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Evaluate: (lim)(x->4)(4x+3)/(x-2)...

Evaluate: `(lim)_(x->4)(4x+3)/(x-2)`

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To evaluate the limit \(\lim_{x \to 4} \frac{4x + 3}{x - 2}\), we can follow these steps: ### Step 1: Identify the limit We need to evaluate the limit as \(x\) approaches 4 for the function \(\frac{4x + 3}{x - 2}\). ### Step 2: Check for indeterminate form Before substituting \(x = 4\), we check if substituting directly leads to an indeterminate form. - The denominator becomes \(4 - 2 = 2\) (not zero). ...
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