Question

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

Answer 1

Answer:

Step-by-step explanation:

Ask yourself, what is the value of the f(x) when

     x aproaches  1       f(x) =  -3

     x aproaches  1.5    f(x) =  -3

     x aproaches  1.9    f(x) =  -3

    x aproaches  1.99    f(x) =  -3

    x aproaches  1.999999999    f(x) =  -3

       lim x--> 2 from the left = -3

using the same approach as x ---> 2 from the right

     x aproaches  5         f(x) =  4

     x aproaches  4          f(x) = 4

     x aproaches  3         f(x) =  4

    x aproaches  2.5       f(x) =  4

    x aproaches  2.001   f(x) =  4

     

      lim x--> 2 from the right =  4