what happens to the value of the function y = 190x / (2x - 1) as x approaches infinity? a. y approaches 0 b…

what happens to the value of the function y = 190x / (2x - 1) as x approaches infinity? a. y approaches 0 b. y approaches 1 c. y approaches 95 d. y approaches 190 e. y approaches infinity

what happens to the value of the function y = 190x / (2x - 1) as x approaches infinity? a. y approaches 0 b. y approaches 1 c. y approaches 95 d. y approaches 190 e. y approaches infinity

Answer

Explanation:

Step1: Divide numerator and denominator by x

Divide both the numerator and denominator of the function $y = \frac{190x}{2x - 1}$ by $x$. We get $y=\frac{190}{\ 2-\frac{1}{x}}$.

Step2: Evaluate the limit as x approaches infinity

As $x\rightarrow\infty$, $\frac{1}{x}\rightarrow0$. Substituting $\frac{1}{x} = 0$ into $y=\frac{190}{2-\frac{1}{x}}$, we have $y=\frac{190}{2 - 0}$.

Step3: Calculate the value of y

$y=\frac{190}{2}=95$.

Answer:

C. y approaches 95