Question 15
DifferentiationEvaluate limx→1 (1 − x)/(x2 − 3x + 2)
- A.1
- B.½
- C.0
- D.−1
Show the answer and explanation
Answer: A (1)
Explanation
x² − 3x + 2 = (x − 1)(x − 2) and 1 − x = −(x − 1). Cancel to get −1/(x − 2); at x = 1 this is −1/(−1) = 1.
Evaluate limx→1 (1 − x)/(x2 − 3x + 2)
Answer: A (1)
x² − 3x + 2 = (x − 1)(x − 2) and 1 − x = −(x − 1). Cancel to get −1/(x − 2); at x = 1 this is −1/(−1) = 1.