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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.

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 th class=

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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:

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:

                     [tex]\lim_{x \to 3^+} f(x)=3[/tex]

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