Find the limit. $\lim _ { x \rightarrow \infty } \frac { 3 x - 3 } { - 7 x - 4 }$
A) $\frac { 3 } { 4 }$
B) $- \frac { 3 } { 7 }$
C)1
D)0
E)does not exist

Question

Quizplus · Accepted Answer

To find the limit as $x$ approaches infinity of the given function, divide every term by the highest power of $x$ in the denominator, which is $x$. This simplifies to $\lim _ { x \rightarrow \infty } \frac { 3 - \frac{3}{x} } { - 7 - \frac{4}{x} }$. As $x$ approaches infinity, the terms $\frac{3}{x}$ and $\frac{4}{x}$ approach 0, leaving $\frac{3}{-7} = -\frac{3}{7}$.

Find the Limit lim⁡x→∞3x−3−7x−4\lim _ { x \rightarrow \infty } \frac { 3 x - 3 } { - 7 x - 4 }limx→∞​−7x−43x−3​

Find the Limit $\lim _ { x \rightarrow \infty } \frac { 3 x - 3 } { - 7 x - 4 }$