Use analytic methods to find the limit as $x \rightarrow - \infty$ for the given function. $f ( x ) = \frac { 7000 x } { 3300 - 4 x }$
A) $- 1750$
B) $825$
C) $- 825$
D) $1750$
E)does not exist

Question

Quizplus · Accepted Answer

To find the limit as $x \rightarrow - \infty$, divide every term in the fraction by $x$: $\lim_{x \to -\infty} \frac{7000}{\frac{3300}{x} - 4}$. As $x \rightarrow -\infty$, $\frac{3300}{x} \rightarrow 0$, so the expression simplifies to $\frac{7000}{-4} = -1750$.

Use Analytic Methods to Find the Limit As x→−∞x \rightarrow - \inftyx→−∞

Use Analytic Methods to Find the Limit As $x \rightarrow - \infty$