what is the end behavior of the function f(x) =1/x when x approaches +infinity

Question

when x approaches +infinity, f(x) is approaching __

Answer 1

As \( x \) approaches \( +\infty \), the function \( f(x) = \frac{1}{x} \) approaches 0. Therefore, when \( x \) approaches \( +\infty \), \( f(x) \) is approaching 0.

In mathematical notation, you can express this as:

\[ \lim_{x \to +\infty} f(x) = 0 \]