The limit of a function at a specific point is the value that the function approaches as the input of the function gets closer and closer to that specific point.
The limit of a function at a specific point is the theoretical value that the function approaches, while the value of the function at that point is the actual output of the function at that specific point.
To determine if the limit of a function at a specific point exists, you must evaluate the function at that point and see if the values are approaching a certain value from both sides. If the values approach the same value, then the limit exists.
Yes, the limit of a function at a specific point can exist even if the function is not defined at that point. This is because the limit only looks at the behavior of the function as the input gets closer to the specific point, not necessarily at the specific point itself.
Some common techniques used to evaluate the limit of a function at a specific point include substitution, factoring, and using algebraic manipulation to simplify the function. Another common technique is using the Squeeze Theorem to find the limit by comparing the function to other known functions with known limits.