Question

what happens to the value of the function y = \frac{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

Explanation:

Step1: Divide numerator and denominator by x

$\lim_{x
ightarrow\infty}\frac{190x}{2x - 1}=\lim_{x
ightarrow\infty}\frac{190}{2-\frac{1}{x}}$

Step2: Evaluate the limit as x approaches infinity

As $x
ightarrow\infty$, $\frac{1}{x}
ightarrow0$. So, $\lim_{x
ightarrow\infty}\frac{190}{2-\frac{1}{x}}=\frac{190}{2 - 0}$

Step3: Simplify the expression

$\frac{190}{2 - 0}=95$

Answer:

C. y approaches 95