Question

find the limit: $lim_{x
ightarrow7}\frac{x^{2}+7x - 98}{x - 7}$.
21
98
15
1
-4

Explanation:

Step1: Factor the numerator

Factor $x^{2}+7x - 98$ as $(x + 14)(x-7)$. So the limit becomes $\lim_{x
ightarrow7}\frac{(x + 14)(x - 7)}{x - 7}$.

Step2: Simplify the function

Cancel out the common factor $(x - 7)$ (since $x
eq7$ when taking the limit), we get $\lim_{x
ightarrow7}(x + 14)$.

Step3: Evaluate the limit

Substitute $x = 7$ into $x+14$, we have $7+14=21$.

Answer:

A. 21