Question

question 2 · 1 point evaluate lim┬(x→1)⁡(5x³ + 3x² + 5)/(5x - 4). enter an exact answer. provide your answer below:

Explanation:

Step1: Substitute x = 1

Substitute \(x = 1\) into the function \(\frac{5x^{3}+3x^{2}+5}{5x - 4}\).
\[

$$\begin{align*} \frac{5(1)^{3}+3(1)^{2}+5}{5(1)-4}&=\frac{5\times1 + 3\times1+5}{5 - 4}\\ \end{align*}$$

\]

Step2: Simplify the numerator and denominator

Calculate the numerator \(5\times1+3\times1 + 5=5 + 3+5=13\) and the denominator \(5 - 4 = 1\).
\[
\frac{13}{1}=13
\]

Answer:

13