This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You are right that (x^2)/(x^2) becomes 1. In Step 3, the original expression was _x (2 + 5x + x x)/(x^2 - 3x). We divided every term in both the numerator and the denominator by x^2: Numerator: (2)/(x^2) + (5x)/(x^2) + (x x)/(x^2) = (2)/(x^2) + (5)/(x) + ( x)/(x) As x , each of these terms goes to 0. So, the numerator approaches 0+0+0 = 0. Denominator: (x^2)/(x^2) - (3x)/(x^2) = 1 - (3)/(x) As x , (x^2)/(x^2) becomes 1, and (3)/(x) goes to 0. So, the denominator approaches 1-0 = 1. Therefore, the limit becomes (0)/(1) = 0. The 1 from (x^2)/(x^2) is indeed in the denominator, as shown in the calculation. What's next?