Find the limit. $\lim _{x \rightarrow \infty} \frac{x^{5}-4}{x^{4}+5}$
A) $\frac{7}{6}$
B) -$\infty$
C) $\infty$
D) 0
E) $-\frac{1}{2}$

Name: Find the limit. $\lim _{x \rightarrow \infty} \frac{x^{5}-4}{x^{4}+5}$ A) $\frac{7}{6}$ B) -$\infty$ C) $\infty$ D) 0 E) $-\frac{1}{2}$
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Question

Quizplus · Accepted Answer

As $x$ approaches infinity, the term $x^5$ dominates the term $-4$ in the numerator and $x^4$ dominates the term 5 in the denominator. Therefore, the limit simplifies to $\frac{x^5}{x^4}=\boxed{	extbf{(C) } \infty}$.

Find the Limit lim⁡x→∞x5−4x4+5\lim _{x \rightarrow \infty} \frac{x^{5}-4}{x^{4}+5}limx→∞​x4+5x5−4​ A) 76\frac{7}{6}67​ B) - ∞\infty∞

Find the Limit $\lim _{x \rightarrow \infty} \frac{x^{5}-4}{x^{4}+5}$ A) $\frac{7}{6}$ B) - $\infty$