evaluate the limit.

lim_{t→-∞} (-3t + 6)/(7t - 1)

simplify any fractions in your answer.

Question

evaluate the limit.

lim_{t→-∞} (-3t + 6)/(7t - 1)

simplify any fractions in your answer.

Accepted Answer

# Explanation:
## Step1: Divide numerator and denominator by $t$
$$
\begin{align*}
\lim_{t
ightarrow-\infty}\frac{-3t + 6}{7t-1}&=\lim_{t
ightarrow-\infty}\frac{\frac{-3t}{t}+\frac{6}{t}}{\frac{7t}{t}-\frac{1}{t}}\
\end{align*}
$$
## Step2: Evaluate the limit
As $t
ightarrow-\infty$, $\lim_{t
ightarrow-\infty}\frac{6}{t}=0$ and $\lim_{t
ightarrow-\infty}\frac{- 1}{t}=0$.
$$
\begin{align*}
\lim_{t
ightarrow-\infty}\frac{-3+\frac{6}{t}}{7-\frac{1}{t}}&=\frac{-3 + 0}{7-0}\
\end{align*}
$$

# Answer:
$-\frac{3}{7}$

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QUESTION IMAGE

Question

Explanation:

Step1: Divide numerator and denominator by \(t\)

Step2: Evaluate the limit

Answer: