Question

question 5 evaluate the limit \\(\lim_{x \to -3} \frac{7x^2 - 7x + 5}{x - 7}\\)

Explanation:

Step1: Substitute $x=-3$ into function

$$\frac{7(-3)^2 - 7(-3) + 5}{(-3) - 7}$$

Step2: Calculate numerator value

$$7(9) + 21 + 5 = 63 + 21 + 5 = 89$$

Step3: Calculate denominator value

$$-3 - 7 = -10$$

Step4: Simplify the fraction

$$\frac{89}{-10} = -\frac{89}{10}$$

Answer:

$-\frac{89}{10}$ or $-8.9$