Question

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

Answer 1

limit of f(x) as x approaches 3 from the right side.

x= 3.1 results in 3

x= 3.01 results in 3

x= 3.001 results in 3

limit as x approaches 3 from the right side is 3.

Answer 2

Answer:

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

                                   3

Step-by-step explanation:

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:

                     $\lim_{x \to 3^+} f(x)=3$