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
My apologies for the oversight! Thank you for clarifying the limit value. Let's re-evaluate the limit as x approaches 3. ii. Evaluate _x 3 (x^2 - 9)/(x^2 + 2x - 3) Step 1: Check the form of the limit by direct substitution. Substitute x=3 into the expression: Numerator: 3^2 - 9 = 9 - 9 = 0 Denominator: 3^2 + 2(3) - 3 = 9 + 6 - 3 = 15 - 3 = 12 Step 2: Evaluate the limit. Since the numerator approaches 0 and the denominator approaches a non-zero number (12), the limit of the fraction is 0. _x 3 (x^2 - 9)/(x^2 + 2x - 3) = (0)/(12) = 0 The limit exists and is: 0 What's next?