Use the given graph to determine the limit, if it exists.

a coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1, a closed point at 3, 7, and a horizontal line starting at the open point 3, 3.

find limit as x approaches three from the right of f of x.

The  limit as x approaches three from the right of f of x is:

                                   3

Based on the graph we observe that the graph of the function increases continuously from x= -∞ to x=3.

There is a open circle at (3,1)

Then at x=3 it takes the value as 7

i.e. when x=3 then f(3)=7

Now after x=3 i.e. to the right of x=3 the graph is a constant line i.e. f(x)=3 for x>3

There is a open circle at (3,3)

           Hence, the right hand limit of f(x) at x=3 is: