Question

attempt 1: 10 attempts remaining.
find the limit of the function:
\\(\lim\limits_{x\to \frac{1}{5}} (-15x + 4) =\\)

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., \( \lim_{x\to c}(ax + b)=ac + b \).

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:
\[

$$\begin{align*} -15\times\frac{1}{5}+4&=- 3 + 4\\ &=1 \end{align*}$$

\]

Answer:

\( 1 \)