Problem

Evaluate the limit as x approaches infinity for the function \(f(x) = \frac{4x^2 - 2x + 1}{6x^2 + 3x - 2}\)

Solution

Step 1 :Step 1: Divide each term in the function by \(x^2\), the highest power of x in the denominator. The function becomes \(\frac{4 - \frac{2}{x} + \frac{1}{x^2}}{6 + \frac{3}{x} - \frac{2}{x^2}}\)

Step 2 :Step 2: As x approaches infinity, the terms with x in the denominator tend to 0. So, the function simplifies to \(\frac{4}{6}\)

Step 3 :Step 3: Simplify the fraction to get the limit

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Source: https://solvelyapp.com/problems/wpG9RFDA5R/

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