Creating tables for approximating limits

Given the function

f

and asked to estimate

lim_{x \to - 7} f (x)

, three students created tables.

Each table is accurate, but which one is the best for approximating the limit?

(Choice A)
A $x$ ‍ $- 8$ ‍ $- 7.5$ ‍ $- 7.25$ ‍ $- 7.1$ ‍ $- 7.05$ ‍ $- 7.001$ ‍
$f (x)$ ‍ $- 0.681$ ‍ $- 8.108$ ‍ $- 0.21$ ‍ $3.776$ ‍ $4.654$ ‍ $4.666$ ‍
(Choice B)
B $x$ ‍ $- 7.1$ ‍ $- 7.05$ ‍ $- 7.001$ ‍ $- 6.999$ ‍ $- 6.95$ ‍ $- 6.9$ ‍
$f (x)$ ‍ $3.776$ ‍ $4.654$ ‍ $4.666$ ‍ $4.667$ ‍ $4.661$ ‍ $3.843$ ‍
(Choice C)
C $x$ ‍ $- 6.999$ ‍ $- 6.95$ ‍ $- 6.9$ ‍ $- 6.75$ ‍ $- 6.5$ ‍ $- 6$ ‍
$f (x)$ ‍ $4.667$ ‍ $4.661$ ‍ $3.843$ ‍ $- 0.043$ ‍ $- 7.775$ ‍ $- 0.014$ ‍

Calculus 1