what happens to the value of the function $y = \\frac{190x}{2x - 1}$ as $x$ approaches infinity?\na. $y$…
what happens to the value of the function $y = \\frac{190x}{2x - 1}$ as $x$ approaches infinity?\na. $y$ approaches 0\nb. $y$ approaches 1\nc. $y$ approaches 95\nd. $y$ approaches 190\ne. $y$ approaches infinity
Answer
Explanation:
Step1: Divide numerator and denominator by x
We have $y=\frac{190x}{2x - 1}$. Dividing both numerator and denominator by $x$ gives $y=\frac{190}{2-\frac{1}{x}}$.
Step2: Find the limit as x approaches infinity
As $x\rightarrow\infty$, $\frac{1}{x}\rightarrow0$. So, $\lim_{x\rightarrow\infty}y=\lim_{x\rightarrow\infty}\frac{190}{2-\frac{1}{x}}=\frac{190}{2 - 0}$.
Step3: Calculate the value
$\frac{190}{2 - 0}=95$.
Answer:
C. y approaches 95