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

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

20

step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2