Texts:
Suppose we wish to evaluate lim -2 2.
Which of the following is true? Carefully read the answer choices and select all correct answer choices.
1. lim x→2 2 = 2
2. lim x→-2 2 = 2
3. lim x→1-2 = -2
4. lim x→2 2 = 2
5. lim x→2 2 = 0
6. lim x→2 2 = 2
Explanation:
To evaluate the limit, we need to consider the values of x approaching 2 from both sides.
1. The limit as x approaches 2 from the right side is 2.
2. The limit as x approaches -2 from the left side is 2.
3. The limit as x approaches 1 from the left side is -2.
4. The limit as x approaches 2 from the right side is 2.
5. The limit as x approaches 2 from both sides is 0.
6. The limit as x approaches 2 from both sides is 2.
Therefore, the correct answer choices are 1, 2, 3, 5, and 6.