When we say that lim x→∞ 8, we are discussing the concept of limits in calculus. In this case, we are examining what happens to the value of a constant as x approaches infinity.
The limit of a constant value, such as 8, as x approaches infinity is simply the constant itself. This is because no matter how large x gets, the value remains 8. Therefore, we can conclude that:
lim x→∞ 8 = 8
This is a straightforward concept, as limits involving constant values do not change as the variable approaches infinity. It helps illustrate the behavior of functions or values as they extend indefinitely. In summary, lim x→∞ 8 signifies that as x grows infinitely large, the value remains unchanged at 8.