Question

As x increases without bound, f(x) approaches 2. Let g be defined by the function g(x) = f(x) + 5. What is the value of

lim g(x) = ?
X->infinity

Answer 1

The value of the limit of g(x) as x approaches infinity is 7.

Step-by-step explanation:

To find the value of the limit as x approaches infinity for the function g(x) = f(x) + 5, we first need to understand what happens to f(x) as x increases without bound.

Given that f(x) approaches 2 as x increases without bound, it follows that g(x) = f(x) + 5 will approach 7 as x approaches infinity. This is because when x becomes very large, the difference between f(x) and 2 becomes negligible, and g(x) essentially becomes f(x) + 5.

Therefore, the value of the limit of g(x) as x approaches infinity is 7.