The notation "lim" stands for "limit" and represents the value that a function approaches as its input approaches a certain value or infinity.
To find the limit of a function, you must evaluate the function as the input approaches the specified value or infinity. This can be done analytically using algebraic manipulation or graphically by plotting the function and observing its behavior.
If the limit of a function equals a specific value, it means that the function approaches that value as its input approaches the specified value or infinity. This does not necessarily mean that the function will equal that value at the specified point, but rather that it gets closer and closer to that value as the input gets closer to the specified point.
A function has a limit at a specific point if the function approaches a specific value as its input approaches the specified point. This can be determined by evaluating the function at values that are very close to the specified point and observing if the function approaches a specific value.
No, a function can only have one limit at a single point. If the function approaches different values as the input approaches the specified point from different directions, then the limit at that point does not exist.