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

Question

Accepted Answer

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

Answer

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

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

Answer

Popular Problems