Find the limit. Select the correct answer.
$\lim _ { x \rightarrow \infty } [ \ln ( 9 + x ) - \ln ( 4 + x ) ]$
A) $\frac { 8 } { 5 }$
B) $- 5$
C) 9
D) 0
E) 5

Name: Find the limit. Select the correct answer. $\lim _ { x \rightarrow \infty } [ \ln ( 9 + x ) - \ln ( 4 + x ) ]$ A) $\frac { 8 } { 5 }$ B) $- 5$ C) 9 D) 0 E) 5
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Question

Quizplus · Accepted Answer

The expression simplifies to $\ln\left(\frac{9+x}{4+x}\right)$. As $x \to \infty$, $\frac{9+x}{4+x} \to 1$, so $\ln(1) = 0$.

Find the Limit lim⁡x→∞[ln⁡(9+x)−ln⁡(4+x)]\lim _ { x \rightarrow \infty } [ \ln ( 9 + x ) - \ln ( 4 + x ) ]limx→∞​[ln(9+x)−ln(4+x)]

Find the Limit $\lim _ { x \rightarrow \infty } [ \ln ( 9 + x ) - \ln ( 4 + x ) ]$