Given the function f(x)= 3x/4x-1 evaluate the limit of x going positive inifinity

To evaluate the limit of the function f(x) = \frac{3x}{4x - 1} as x approaches positive infinity, we need to look at the behavior of the function as x becomes very large.

We can simplify the function by dividing each term by the highest power of x in the denominator:
f(x) = \frac{3x}{4x - 1} = \frac{\frac{3x}{x}}{\frac{4x}{x} - \frac{1}{x}} = \frac{3}{4 - \frac{1}{x}}

As x approaches positive infinity, the term \frac{1}{x} approaches 0, so:
\lim_{x \to \infty} f(x) = \lim_{x \to \infty} \frac{3}{4 - \frac{1}{x}} = \frac{3}{4 - 0} = \frac{3}{4}

\boxed{\frac{3}{4}} is the limit of the function f(x) as x approaches positive infinity.