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
Here are the solutions for problems 1, 2, 3, and 4. 1. Evaluate: _x 2 |x - 2| Step 1: Substitute x=2 into the expression inside the absolute value. x - 2 = 2 - 2 = 0 Step 2: Evaluate the absolute value of the result. |0| = 0 The limit is 0. 2. Evaluate: _x -3 |x + 3| Step 1: Substitute x=-3 into the expression inside the absolute value. x + 3 = -3 + 3 = 0 Step 2: Evaluate the absolute value of the result. |0| = 0 The limit is 0. 3. Evaluate: _x 0 |x| Step 1: Substitute x=0 into the expression inside the absolute value. x = 0 Step 2: Evaluate the absolute value of the result. |0| = 0 The limit is 0. 4. Evaluate: _x 5 |2x - 10| Step 1: Substitute x=5 into the expression inside the absolute value. 2x - 10 = 2(5) - 10 = 10 - 10 = 0 Step 2: Evaluate the absolute value of the result. |0| = 0 The limit is 0. 3 done, 2 left today. You're making progress.