find the limit.\nlim(x→∞) (1/x - 3)\n-4\n-2\n-3\n3

Explanation:

Step1: Recall limit property

We know that $\lim_{x\rightarrow\infty}\frac{1}{x}=0$.

Step2: Apply limit to the expression

$\lim_{x\rightarrow\infty}(\frac{1}{x}-3)=\lim_{x\rightarrow\infty}\frac{1}{x}-\lim_{x\rightarrow\infty}3$. Since $\lim_{x\rightarrow\infty}\frac{1}{x} = 0$ and $\lim_{x\rightarrow\infty}3=3$, we have $0 - 3=-3$.

Answer:

-3