Question

1. submit answer practice similar attempt 1: 10 attempts remaining. find the limit of the function: \\( \lim_{x \to \frac{1}{5}} (-15x + 4) = \\) submit answer next item

Explanation:

Step1: Recall the limit rule for linear functions

For a linear function \( f(x) = ax + b \), the limit as \( x \to c \) is \( f(c) \), i.e., \( \lim_{x \to c} (ax + b)=a c + b \).

Step2: Substitute \( x = \frac{1}{5} \) into the function

Given the function \( -15x + 4 \) and \( c=\frac{1}{5} \), substitute \( x=\frac{1}{5} \) into the function:
\( -15\times\frac{1}{5}+4 \)
First, calculate \( -15\times\frac{1}{5}=-3 \).
Then, \( -3 + 4 = 1 \).

Answer:

\( 1 \)