Question

find the limit.
lim(x→∞) (1/x - 3)
-4
-2
-3
3

Explanation:

Step1: Recall limit property

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

Step2: Apply limit to the expression

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

Answer:

-3