nukeman said:Homework Statement
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Homework Equations
The Attempt at a Solution
I thought the answer would be limit = infinity
I don't understand how to find the limit to this question.
nukeman said:
jbunniii said:
nukeman said:
jbunniii said:
nukeman said:
nukeman said:
A limit is a fundamental concept in mathematics that describes the behavior of a function as its input approaches a certain value. It is often used to describe the value that a function approaches as its input gets closer and closer to a specific value.
To find the limit of a function, you can use a variety of methods such as substitution, factoring, and L'Hôpital's rule. You can also use graphical methods, such as graphing the function or using a graphing calculator, to estimate the limit.
A one-sided limit only considers the behavior of a function as its input approaches a specific value from one direction, either the left or the right. A two-sided limit considers the behavior of the function as its input approaches the specific value from both the left and the right.
Yes, a limit may not exist if the function has a vertical asymptote, jumps, or oscillates near the specific value. In these cases, the limit is said to be either undefined or infinite.
Finding limits can be useful in real-world applications, such as in physics, engineering, and economics, where it is used to model and predict the behavior of systems and processes. For example, limits are used to determine the velocity and acceleration of an object in motion or to calculate the maximum profit in a business model.