Question

Match the expression for the limit of the function with the function’s horizontal asymptote if it has one. limx→[infinity]​(1/x​)

Answer 1

The expression in the question is lim(x→∞) (1/x), which represents the limit as x approaches infinity for the function f(x) = 1/x. The function's horizontal asymptote is 0.

Step-by-step explanation:

The expression in the question is lim(x→∞) (1/x), which represents the limit as x approaches infinity for the function f(x) = 1/x. To find the horizontal asymptote of a function, we need to determine what value the function approaches as x goes to infinity or negative infinity.

In this case, as x gets larger and larger, the value of 1/x gets smaller and smaller. Therefore, the function f(x) = 1/x approaches 0 as x approaches positive or negative infinity.