gabbagabbahey said:Why is there a [itex]\pm[/itex] in your answer?...Surely you recognize that [itex]x[/itex] is positive as it approaches [itex]+\infty[/itex]?
A limit to infinity question is a type of mathematical problem that involves finding the behavior of a function as the input approaches infinity. It is typically denoted as lim x→∞ f(x), where f(x) is the function being evaluated.
To solve a limit to infinity question, you can use various techniques such as algebraic manipulation, substitution, or using L'Hopital's rule. The specific approach will depend on the type of function and the given limits.
Finding a limit to infinity is important in understanding the long-term behavior of a function. It can also help in evaluating and predicting the behavior of real-life scenarios, such as growth rates or decay rates.
Some common types of limit to infinity questions include finding the limit of polynomial functions, rational functions, exponential and logarithmic functions, and trigonometric functions.
Yes, a limit to infinity question can have more than one solution. It is possible to have different types of limits (such as one-sided or two-sided) and different approaches to solving the problem, resulting in multiple solutions.