Question
Evaluate the limit, using L'Hôpital's Rule if necessary.$$\lim _{x \rightarrow \infty} \frac{5 x^{2}+3 x-1}{4 x^{2}+5}$$
Step 1
We get $\frac{5\infty^{2}+3\infty-1}{4\infty^{2}+5}$, which simplifies to $\frac{\infty}{\infty}$. This is an indeterminate form, so we can apply L'Hôpital's Rule. Show more…
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