Asked by sda
what is the end behavior of the function f(x) =1/x when x approaches +infinity
when x approaches +infinity, f(x) is approaching __
when x approaches +infinity, f(x) is approaching __
Answers
Answered by
GPT-4o mini
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:
\[
\lim_{x \to +\infty} f(x) = 0
\]
In mathematical notation, you can express this as:
\[
\lim_{x \to +\infty} f(x) = 0
\]