Use the given graph to determine the limit, if it exists. a coordinate graph is shown with a horizontal line crossing the y axis at five that ends at the open point 2,5, a closed point at 2,1, and a horizontal line starting at the open point 2, negative 2 and continues to the right. find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x.

The limit of the function does not exists.

Step-by-step explanation:

From the graph it is noticed that the value of the function is 6 from all values of x which are less than 2. At x=2, the line y=6 has open circle. It means x=2 is not included.

For x<2

The value of the function is -3 from all values of x which are greater than 2. At x=2, the line y=-3 has open circle. It means x=2 is not included.

For x>2

The value of y is 1 at x=2, because of he close circles on (2,1).

For x=2

Therefore the graph represents a piecewise function, which is defined as

The limit of a function exist at a point a if the left hand limit and right hand limit are equal.

The function is broken at x=2, therefore we have to find the left and right hand limit at x=2.

Since the left hand limit and right hand limit are not equal therefore the limit of the function does not exists.

Step-by-step explanation:

3

step-by-step explanation: