This notation represents the limit of 2/x as x approaches 0 from the left side. It means that as x gets closer and closer to 0 from the negative direction, the function 2/x does not have a defined limit.
As x approaches 0 from the left, the value of 2/x becomes infinitely large. This means that the function does not approach a specific value and therefore does not have a defined limit.
Yes, it is possible for a function to have a limit on one side of a point but not the other. This is known as a one-sided limit and indicates that the function behaves differently depending on which side of the point it is approaching from.
A limit is the value that a function approaches as the input approaches a specific point. It may or may not be the same as the actual value of the function at that point. The value of a function is the output when a specific input is given.
Yes, a function can still exist even if it does not have a limit at a certain point. However, the function may have a discontinuity at that point, meaning it is not continuous and may have a jump or hole in its graph.