Question

Complete the statements to find the limit. lim x→3 x2 + 2x − 3 x2 + 4x − 5 = The numerator can be factored as . The denominator can be factored as . The common factor of can be divided out of the numerator and denominator. The limit is .

ANSWERS:
1. C
2. D
3. B
4. A

Answer 1

Your choices are all correct.

Numerator: x ² + 2x - 3 = (x + 3) (x - 1)

Denominator: x ² + 4x - 5 = (x + 5) (x - 1)

Common factor: x - 1

Then

lim [x → 3] (x ² + 2x - 3) / (x ² + 4x - 5)

= lim [x → 3] (x + 3) / (x + 5)

= (3 + 3) / (3 + 5)

= 6/8 = 3/4

Answer 2

ANSWERS:

1. C

2. D

3. B

4. A

Explanation: