The left hand limit of the function is:
2019
The left hand limit of the function is:
- A.
1
- B.
-1
- C.
0
- D.
None
Attempted by 43 students.
Show answer & explanation
Correct answer: B
Key idea: evaluate the expression for x values less than 4 (left side).
For x < 4, we have x - 4 < 0, so |x - 4| = -(x - 4).
Substitute into the expression: |x - 4|/(x - 4) = -(x - 4)/(x - 4) = -1 for all x < 4.
Therefore the left-hand limit as x → 4 from the left is -1.
Note: The function value at x = 4 is 0, and for x > 4 the expression equals +1, so the function has a jump discontinuity at x = 4.