Question

use graphs and tables to find the limit.

lim _ { x
ightarrow 7 ^ { - } } \frac { 7 } { x - 7 }

lim _ { x
ightarrow 7 ^ { - } } \frac { 7 } { x - 7 } =

Explanation:

Step1: Analyze the denominator as \(x\to7^{-}\)

When \(x\to7^{-}\), \(x - 7\to0^{-}\) (approaches \(0\) from the negative side).

Step2: Analyze the fraction \(\frac{7}{x - 7}\)

Since the numerator \(7\) is a non - zero constant and the denominator \(x - 7\to0^{-}\), we have \(\frac{7}{x - 7}\to-\infty\).

Answer:

\(-\infty\)