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 to the limit problems: d) Evaluate _x 2 (6x-2) Step 1: Substitute the value x=2 into the function. Since 6x-2 is a polynomial function, we can find the limit by direct substitution. 6(2) - 2 Step 2: Perform the multiplication. 12 - 2 Step 3: Perform the subtraction. 10 The limit is 10. e) Evaluate _x -2 (2x^2+x) Step 1: Substitute the value x=-2 into the function. Since 2x^2+x is a polynomial function, we can find the limit by direct substitution. 2(-2)^2 + (-2) Step 2: Evaluate the exponent. 2(4) + (-2) Step 3: Perform the multiplication. 8 - 2 Step 4: Perform the subtraction. 6 The limit is 6.